Explanation:motion in Physics is described using quantities that capture how position changes with time. Average velocity is a Vector quantity that depends on the NET displacement of an object over a total time interval. Unlike speed, it considers direction as well, making it essential in analyzing overall motion rather than just how much distance is covered. It helps distinguish between scalar and Vector quantities in kinematics. In many cases, objects may move along complex paths, but average velocity focuses only on the straight-line change between starting and ending positions. This makes it useful in comparing different types of motion under a unified framework. It is a fundamental concept in understanding motion in one dimension and forms the Base for further study of velocity-time relationships and graphical interpretation of motion.
Option b – Can be positive, zero, or negative
A car starts from Bengaluru, travels 50 km south, then returns to Bengaluru. The round trip takes 2 hours. The magnitude of its average velocity is
(a) Zero
(b) 50 km/h
(c) 25 km/h
(d) Cannot be determined without acceleration
Explanation: When an object returns to its starting point, its NET displacement becomes zero, regardless of the distance travelled during the journey. Average velocity depends on displacement divided by total time, so in such round-trip motion scenarios, the focus shifts to the NET positional change rather than the path length. Even though the object moves continuously and covers a significant distance, the start and end points being the same leads to a unique situation in kinematics. This highlights the difference between displacement and distance, where distance measures the actual path and displacement measures straight-line change. Such cases are important in Physics because they show that motion can occur without any NET change in position over time, helping students understand how Vector quantities behave differently from scalar ones in real-world motion problems.
Option a – Zero
The speedometer of a car does not display
(a) Instantaneous velocity
(b) Instantaneous speed
(c) Average velocity
(d) Both (a) and (c)
Explanation: A speedometer is designed to measure how fast a vehicle is moving at any given instant. It gives real-time readings based on the wheel rotation and other sensing mechanisms, reflecting the current rate of motion. However, it does not track the full journey or compute values based on total displacement over time. Because of this, it cannot represent quantities that depend on overall change in position rather than instantaneous movement. In kinematics, instantaneous quantities describe motion at a specific moment, while average quantities describe motion over a time interval. The speedometer focuses only on the immediate state of motion, not cumulative displacement information. This distinction helps separate what is measured directly in real-time from what requires calculation over a duration in Physics.
Option d – Both (a) and (c)
The rate of change of displacement with time is called
Explanation: In Physics, motion is analyzed by studying how position changes over time. Displacement refers to the shortest straight-line change in position from a starting point. When this change is observed with respect to time, it gives a measure of how quickly position is changing in a specific direction. This concept is fundamental in kinematics and is used to describe motion in both uniform and non-uniform conditions. It is a Vector quantity because direction plays an important role in determining the nature of motion. Understanding this concept is essential for analyzing velocity-time graphs and interpreting motion in one dimension. It also forms the basis for deriving relationships between displacement, time, and acceleration in more advanced motion studies.
Option d – Velocity
The SI unit of velocity is
(a) m/s
(b) m/s²
(c) m/s²
(d) m/s²
Explanation: Physical quantities are expressed using standard units to ensure uniformity in measurement across scientific studies. Velocity is defined as the rate of change of displacement with respect to time. Since displacement is measured in meters and time in seconds, the derived unit follows from these Base quantities. In the International System of Units, derived units are formed by combining fundamental units. Velocity belongs to the category of derived Vector quantities because it includes both magnitude and direction. Understanding units is essential in Physics as it ensures consistency in calculations and comparisons between different physical situations. It also helps in dimensional analysis, which is used to verify the correctness of equations and relationships in motion-related problems.
Option a – m/s
In … motion along a straight line, the change in velocity during any time interval is zero.
(a) Linear
(b) Translational
(c) Equilibrium
(d) Uniform
Explanation: Motion in a straight line can occur under different conditions depending on whether velocity changes with time or remains constant. When velocity does not change over time, the motion is considered uniform, meaning both magnitude and direction remain consistent. In such cases, acceleration is zero because there is no change in velocity. This concept is important in understanding idealized motion where objects move without speeding up or slowing down. It also helps in distinguishing between uniform motion and accelerated motion. In real-life scenarios, perfectly uniform motion is rare, but it serves as a reference model for studying more complex motion patterns. This idea is widely used in basic kinematics to simplify analysis of motion along a single direction.
Option d – Uniform
Two trains are on parallel tracks running north-south. Train A moves at 30 m/s north to south, while Train B moves at 50 m/s south to north. The relative velocity of Train A with respect to Train B is
(a) 30 m/s
(b) 80 m/s
(c) 20 m/s
(d) 100 m/s
Explanation: Relative velocity describes how the motion of one object appears when observed from another moving object. In one-dimensional motion along the same line, velocities are combined considering their directions. When two objects move in opposite directions, their relative speed increases because both motions contribute to separation between them. This concept is widely used in analyzing motion of vehicles on roads or trains on parallel tracks. It helps simplify complex motion problems by changing the frame of reference. Instead of observing both objects independently, one object is treated as stationary while the other’s motion is adjusted accordingly. This approach makes calculations easier and provides a clearer understanding of how fast objects move relative to each other in opposite directions.
Option b – 80 m/s
In negative acceleration, the velocity of an object
(a) Is zero
(b) Increases
(c) Decreases
(d) Remains unchanged
Explanation: Acceleration refers to the rate of change of velocity with time. When acceleration is negative, it indicates that the velocity of an object is decreasing with respect to time in the chosen direction. This does not necessarily mean the object is slowing down in all cases; it depends on the direction of motion and reference frame. In simple terms, negative acceleration often corresponds to deceleration when motion is considered along a positive axis. This concept is important in understanding how objects behave when forces act opposite to their direction of motion. It is widely used in braking systems, motion graphs, and kinematic equations where velocity changes uniformly or non-uniformly over time.
Option c – Decreases
For uniform acceleration, the final velocity of an object is equal to
(a) Average velocity − Initial velocity
(b) 2 × Average velocity − Initial velocity
(c) 2 × Average velocity + Initial velocity
(d) Average velocity + Initial velocity
Explanation: Uniform acceleration means that the velocity of an object changes at a constant rate over time. In such motion, relationships between initial velocity, final velocity, acceleration, and time are mathematically defined. These relationships are derived from kinematic equations of motion. The final velocity depends on both the initial velocity and the change caused by constant acceleration over a given time interval. This concept is used extensively in solving motion problems involving falling bodies, vehicles, and projectile motion under simplified conditions. Understanding this relationship helps in predicting future motion based on known initial conditions and constant acceleration behavior. It is a key part of classical mechanics and helps connect graphical representations of motion with algebraic equations.
Option b – 2 × Average velocity − Initial velocity
A body accelerates from 10 m/s to 20 m/s in 4 seconds. Its acceleration is
(a) 7.5
(b) 5
(c) 15
(d) 2.5
Explanation: Acceleration is defined as the rate of change of velocity with respect to time. When an object’s velocity changes uniformly, acceleration can be calculated using the difference between final and initial velocity divided by the time interval. This concept is widely used in kinematics to analyze motion under constant acceleration conditions. It helps in understanding how quickly an object speeds up or slows down. Such calculations are essential in real-life applications like vehicle motion, sports dynamics, and engineering systems. By analyzing the change in velocity over a specific time period, one can determine how rapidly the motion is changing. This forms the basis for more advanced motion equations used in Physics.
Option d – 2.5
Consider these statements: I. Distance can never be negative or zero, but displacement can be. II. Speed is the rate of change of displacement with time. III. Average velocity can never be negative or zero for a moving body.
(a) I, II, and III
(b) I and III
(c) Only I
(d) II and III
Explanation: Motion involves quantities like distance, displacement, speed, and velocity, each with distinct definitions. Distance is a scalar quantity representing the total path covered and is always non-negative, while displacement is a Vector that can be positive, negative, or zero depending on direction and final position. Speed is related to distance covered per unit time, not displacement. Average velocity depends on NET displacement over time and can vary in sign or even become zero depending on motion. These distinctions are important in understanding how scalar and Vector quantities differ in describing motion. Careful interpretation of definitions is necessary in evaluating statements related to kinematics, as small differences in wording can change the meaning of physical concepts significantly.
Option c – Only I
Assertion (A): A car’s speedometer measures its average speed. Reason (R): Average velocity equals total displacement divided by total time.
(a) Both A and R are true, and R explains A correctly
(b) Both A and R are true, but R does not explain A correctly
(c) A is true, but R is false
(d) A is false, but R is true
Explanation: Measuring motion in real time involves distinguishing between instantaneous and average quantities. A speedometer shows the instantaneous speed of a vehicle at a given moment, not the overall average speed over a journey. Average velocity is calculated using total displacement divided by total time, which depends on the overall change in position rather than momentary readings. These concepts are important in understanding how instruments measure motion and how calculated values differ from direct measurements. In Physics, average and instantaneous quantities serve different purposes in analyzing motion. Understanding this distinction helps avoid confusion between what is observed directly and what is derived from multiple data points over a period of time.
Option d – A is false, but R is true
In which of these cases are distance and displacement equal?
Explanation: Distance and displacement represent two different ways of describing motion. Distance is the total path length covered, while displacement is the straight-line change in position from start to end. These two quantities are equal only under specific conditions where motion occurs along a straight line without any change in direction. When an object changes direction, distance becomes greater than displacement. Understanding this relationship is important in analyzing motion paths and identifying when simplifications can be made. It also helps in distinguishing between scalar and Vector descriptions of motion, which is a key concept in kinematics and motion analysis.
Option a – A car moving on a straight road
When an object covers unequal distances in equal time intervals, it is in … motion.
(a) Uniform
(b) Linear
(c) Non-uniform
(d) Equilibrium
Explanation: Motion can be classified based on how distance changes with time. When an object covers different distances in equal time intervals, it indicates that its speed is not constant. This type of motion is called non-uniform motion. It is commonly observed in real-life situations such as vehicles moving in traffic or objects accelerating and decelerating. In Physics, uniform motion refers to equal distances covered in equal time intervals, while non-uniform motion shows variation. Understanding this difference helps in analyzing motion graphs and interpreting real-world movement patterns. It also forms the basis for studying acceleration and variable velocity in kinematics.
Explanation: Motion is described using quantities that relate distance or displacement with time. Speed specifically focuses on how much distance an object covers in a given time interval, without considering direction. It is a scalar quantity, meaning it has only magnitude and no directional component. This makes it different from velocity, which includes both magnitude and direction. Speed helps in understanding how fast an object is moving regardless of its path. In real-world situations, objects rarely move in perfectly straight lines, so speed gives a general idea of motion intensity. It is widely used in everyday contexts like travel, sports, and transportation. Understanding speed is also essential for comparing different motions and analyzing how quickly objects complete a journey over time.
Option a – The distance covered per unit time
The speed of an ant is 75 cm/s. The distance it travels in a day is
(a) 64,800 m/day
(b) 648,000 m/day
(c) 648,000 cm/day
(d) 64,800,000 cm/day
Explanation: To determine total distance covered, motion is analyzed using the relationship between speed and time. Speed represents how much distance is covered in a unit of time, so multiplying it by total time gives overall distance. In problems involving long durations, consistent unit conversion becomes important to ensure accuracy in calculation. Time must be expressed in the same unit system as speed for correct results. Such scenarios are commonly used in kinematics to apply basic formulas of uniform motion. They also help in understanding how small Organisms or objects can cover large distances over extended periods. This type of reasoning builds a strong foundation for solving real-life motion-based numerical problems in Physics.
Option b – 648,000 m/day
A car travels from A to B at 40 km/h and returns at 60 km/h. Its average speed is
(a) 40 km/h
(b) 48 km/h
(c) 50 km/h
(d) 60 km/h
Explanation: Average speed is calculated by considering total distance covered over total time taken. When an object travels equal distances at different speeds, the overall motion must be analyzed by combining time intervals for each segment of the journey. Since speed varies in different parts of the trip, simple averaging of speeds does not give the correct result. Instead, time taken for each portion of motion is calculated separately and then used to determine total time. This concept is important in real-world travel situations where speeds are not constant throughout a journey. It highlights the difference between arithmetic mean and harmonic mean in motion-related calculations, ensuring accurate representation of overall motion behavior.
Option b – 48 km/h
A bus travels 300 km at 50 km/h, then returns at 60 km/h. Its average speed is
(a) 54.55 km/h
(b) 55 km/h
(c) 55.55 km/h
(d) 54 km/h
Explanation: Motion involving a round trip with different speeds requires careful analysis of time spent in each segment. Average speed depends on total distance divided by total time, not on direct averaging of individual speeds. Each segment of the journey must be treated separately to determine time taken, since speed varies in different directions or phases of motion. After calculating total time, the overall motion is analyzed to determine how quickly the entire journey was completed. This approach is commonly used in kinematics problems involving variable speed motion. It helps in understanding how different speeds influence total travel time and overall motion efficiency in real-world transportation scenarios.
Option a – 54.55 km/h
The speed of an object at a specific instant is called
(a) Instantaneous speed
(b) Instantaneous velocity
(c) Displacement
(d) None of the above
Explanation: Motion can be studied either over a time interval or at a specific moment. When motion is observed at a particular instant, it describes how fast an object is moving at that exact point in time. This type of measurement focuses on instantaneous behavior rather than overall motion. It is useful in analyzing rapidly changing motion where speed is not constant. Instantaneous quantities are widely used in Physics to study real-time motion using instruments and graphs. They help in understanding how velocity or speed changes continuously with time. This concept is important for interpreting motion graphs and analyzing situations where motion varies from moment to moment.
(b) Cannot be inertial because the Earth revolves around the Sun
(c) May be non-inertial
(d) None of the above
Explanation: A reference frame is a system used to observe and measure motion. When a frame is attached to the Earth, it is often treated as a standard frame for studying motion in everyday situations. However, whether it is considered inertial or non-inertial depends on the effects of Earth’s rotation and revolution. In ideal physics problems, Earth-based frames are sometimes assumed inertial for simplicity. In more precise analysis, rotational motion can introduce apparent forces, making the frame non-inertial. Understanding reference frames is essential in mechanics because motion descriptions depend on the observer’s perspective. It helps in comparing motion consistently across different situations and analyzing relative motion between objects.
Option a – Is inertial
If an object changes position relative to its surroundings over time, it is said to be in
(a) Motion
(b) Rest
(c) Only circular motion
(d) None of the above
Explanation: Motion is fundamentally defined by a change in position with respect to a chosen reference point or surroundings. If an object’s position varies over time when compared to its Environment, it is considered to be in motion. This definition highlights that motion is relative and depends on the observer’s frame of reference. An object may appear at rest in one frame but moving in another. This concept is crucial in physics because it forms the basis for all motion-related analysis. By identifying whether position changes over time, one can determine the state of motion and further analyze speed, velocity, and acceleration associated with the object.
Option a – Motion
In oscillatory motion
(a) The particle moves in a straight line
(b) The particle moves in a circular path
(c) The particle moves back and forth about a point
(d) None of the above
Explanation: Oscillatory motion refers to a type of motion where an object repeatedly moves to and FRO about a fixed position, often called the equilibrium position. This motion is Periodic in nature, meaning it repeats itself at regular intervals of time. It is commonly observed in systems like pendulums, springs, and vibrating strings. The restoring force acting on the object tends to bring it back toward the central position whenever it is displaced. Understanding oscillatory motion is important in studying waves, sound, and mechanical vibrations. It also helps explain many natural and engineered systems where repetitive motion occurs under the influence of restoring forces and inertia.
Option c – The particle moves back and forth about a point
The sliding of a body on an inclined plane is an example of
(a) Rectilinear motion
(b) Circular motion
(c) Oscillatory motion
(d) Rotational motion
Explanation: When a body slides down an inclined surface, its motion occurs along a straight path defined by the slope of the plane. This type of motion can be analyzed using the principles of linear kinematics, where displacement, velocity, and acceleration are all along a single direction. The force of gravity causes the body to accelerate down the slope, while friction may oppose the motion depending on the surface. Such motion is often used as a simple model to study acceleration and forces acting on bodies. It provides a clear example of motion in one dimension and helps in understanding how forces influence movement along a straight line.
Option a – Rectilinear motion
Which statement is correct?
(a) Displacement can never be zero
(b) Displacement can be greater than distance
(c) Distance can be greater than or equal to displacement
(d) Distance is always greater than displacement
Explanation: In kinematics, distance and displacement are two closely related but distinct quantities. Distance measures the total path length travelled by an object and is always non-negative. Displacement, on the other hand, represents the shortest straight-line change in position and can be zero, positive, or negative depending on direction. In many motion scenarios, the distance travelled is greater than or equal to the magnitude of displacement because the path may not be straight. Understanding this relationship is essential for correctly interpreting motion problems. It also highlights the difference between scalar and Vector quantities, helping build a strong conceptual foundation in the study of motion.
Option c – Distance can be greater than or equal to displacement
We covered all the motion Class 9mcq online test above in this post for free so that you can practice well for the exam.
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