Section A – Multiple Choice Questions (MCQs) [Q.1–20]
- The SI unit of velocity is:
a) m/s
b) km/h
c) m²/s
d) m/s² - Which of the following is a vector quantity?
a) Speed
b) Distance
c) Displacement
d) Path length - The slope of a distance-time graph gives:
a) Velocity
b) Speed
c) Acceleration
d) Displacement - Which of the following is non-uniform motion?
a) Car moving at constant speed
b) Earth revolving around the Sun
c) A train at rest
d) A particle in straight line with uniform speed - The slope of a velocity-time graph gives:
a) Speed
b) Displacement
c) Acceleration
d) Distance - The area under a velocity-time graph represents:
a) Displacement
b) Speed
c) Distance
d) Acceleration - A body is said to be in uniform motion when:
a) It covers equal distances in equal intervals of time
b) It covers unequal distances in equal intervals of time
c) It is at rest
d) It moves with increasing speed - Negative acceleration is also called:
a) Retardation
b) Uniform motion
c) Uniform acceleration
d) Constant speed - Which of the following is not a correct pair?
a) Speed – scalar
b) Velocity – vector
c) Acceleration – scalar
d) Displacement – vector - Which type of motion is shown by a freely falling stone?
a) Uniform motion
b) Non-uniform motion with uniform acceleration
c) Oscillatory motion
d) Random motion - A train moving with uniform velocity has acceleration:
a) Zero
b) Constant
c) Variable
d) Negative - If a car covers 60 km in 2 hours, its average speed is:
a) 20 km/h
b) 30 km/h
c) 40 km/h
d) 50 km/h - Which of the following graphs represents uniform acceleration?
a) Straight line parallel to time axis (v–t)
b) Straight line with positive slope (v–t)
c) Curve (v–t)
d) None - The unit of acceleration is:
a) m/s
b) m/s²
c) m²/s
d) km/h - Which of the following is in non-uniform acceleration?
a) Free fall
b) Car moving on a straight road with uniform speed
c) A ball moving in circular path
d) A rocket taking off - What does a horizontal line on a distance-time graph indicate?
a) Object is at rest
b) Uniform speed
c) Acceleration
d) Increasing speed - If velocity is decreasing with time, acceleration is:
a) Positive
b) Negative
c) Zero
d) Infinite - Which formula represents the first equation of motion?
a) v = u + at
b) s = ut + ½ at²
c) v² – u² = 2as
d) a = (v – u)/t - Which of the following is correct about displacement?
a) Always positive
b) Always zero
c) Can be positive, negative or zero
d) Same as distance - The motion of the tip of a second’s hand of a clock is:
a) Uniform circular motion
b) Oscillatory motion
c) Rectilinear motion
d) Random motion
Section B – True/False [Q.21–30]
- Distance is a vector quantity. (False)
- Displacement can be zero even if distance is not zero. (True)
- Acceleration can be negative. (True)
- Speed is always greater than or equal to velocity. (True)
- SI unit of acceleration is m/s². (True)
- Uniform circular motion is an accelerated motion. (True)
- Average speed = Total distance / Total time. (True)
- The slope of a v–t graph is velocity. (False)
- An object moving with uniform velocity has zero acceleration. (True)
- The distance-time graph for an object at rest is a straight line parallel to the x-axis. (True)
Section C – Fill in the Blanks [Q.31–40]
- The slope of a distance-time graph gives __________.
- The slope of a velocity-time graph gives __________.
- The area under a velocity-time graph gives __________.
- Negative acceleration is also called __________.
- Displacement is a __________ quantity.
- Speed is a __________ quantity.
- The SI unit of distance is __________.
- The SI unit of velocity is __________.
- Uniform circular motion is an example of __________ motion.
- An object covering equal distances in equal intervals of time is said to have __________ motion.
Section D – Assertion & Reason [Q.41–50]
- Assertion: Velocity can be negative.
Reason: Velocity has both magnitude and direction.
(Options: a) Both true, b) Both false, c) A true R false, d) A false R true) - Assertion: Speed and velocity are always the same.
Reason: Speed is scalar while velocity is vector. - Assertion: Distance travelled can never decrease.
Reason: Distance is the total path length. - Assertion: The slope of a velocity-time graph gives acceleration.
Reason: Acceleration is rate of change of velocity. - Assertion: A body moving in a circle at constant speed has uniform motion.
Reason: Its velocity changes due to change in direction. - Assertion: Retardation is also called negative acceleration.
Reason: Retardation increases the speed of a body. - Assertion: Acceleration can be zero even when velocity is not zero.
Reason: A body moving with constant velocity has zero acceleration. - Assertion: In uniform acceleration, equal changes in velocity occur in equal intervals of time.
Reason: Acceleration is constant. - Assertion: The displacement of a particle moving in a circular path after one complete revolution is zero.
Reason: Displacement depends on initial and final position. - Assertion: In a v–t graph, the area under the curve gives acceleration.
Reason: Acceleration = Δv/Δt.
Section E – Very Short Answer (1 Mark Each) [Q.51–60]
- Define displacement.
- What is uniform motion?
- Write SI unit of velocity.
- What is retardation?
- Which physical quantity does the slope of a v–t graph represent?
- What is the area under a v–t graph equal to?
- Write the first equation of motion.
- Write the third equation of motion.
- Give one example of uniform circular motion.
- Can average speed be equal to average velocity?
Section F – Short Answer (2 Marks Each) [Q.61–70]
- Differentiate between distance and displacement.
- Differentiate between speed and velocity.
- What is uniform acceleration? Give one example.
- A car moves with a velocity of 10 m/s and uniformly accelerates at 2 m/s² for 5 s. Find final velocity.
- Define acceleration and its SI unit.
- Draw the distance-time graph of uniform motion.
- Define average speed and average velocity.
- Can displacement be zero? Explain with an example.
- What does the slope of a distance-time graph represent?
- A bus decreases its speed from 80 km/h to 60 km/h in 5 s. Find retardation.
Section G – Short Answer (3 Marks Each) [Q.71–80]
- Explain the three equations of motion.
- Derive relation v = u + at from velocity-time graph.
- A car starts from rest and attains a velocity of 72 km/h in 20 s. Find acceleration.
- A train moves with velocity of 36 km/h for 10 min, then 54 km/h for next 15 min. Find average speed.
- Define uniform and non-uniform motion with examples.
- Draw a v–t graph for uniform acceleration.
- State conditions when average speed = average velocity.
- Write differences between scalar and vector quantities (any 4).
- A body starts from rest and accelerates at 4 m/s² for 10 s. Find distance covered.
- Explain retardation with one numerical.
Section H – Long Answer (4–5 Marks Each) [Q.81–90]
- Derive second equation of motion (s = ut + ½at²) using graphical method.
- Derive third equation of motion (v² – u² = 2as).
- A car moving with 10 m/s accelerates at 2 m/s² for 15 s. Find final velocity and distance travelled.
- Differentiate between speed, velocity and acceleration with examples.
- Draw and explain distance-time graphs for uniform and non-uniform motion.
- An object is thrown vertically upwards with velocity 20 m/s. Find maximum height and time of flight.
- Explain the meaning of positive, negative and zero acceleration with graphs.
- Write differences between uniform motion and non-uniform motion.
- A stone falls from rest from a height of 20 m. Find velocity after 2 s and distance travelled.
- Explain graphical representation of motion using displacement-time, velocity-time and acceleration-time graphs.
Section I – Case Study Based [Q.91–100]
Case Study 1 (Q.91–95):
A car accelerates from rest and covers a distance of 200 m in 20 s. Its velocity-time graph is a straight line.
- What type of motion is this?
- Draw the v–t graph.
- Find acceleration of the car.
- Find final velocity.
- Find average velocity.
Case Study 2 (Q.96–100):
A ball is dropped from a height and its motion is studied with graphs.
- What type of acceleration does the ball experience?
- Draw the v–t graph for the ball.
- If it falls for 3 s, find velocity at the end.
- Find distance travelled in 3 s.
- State whether its motion is uniform or non-uniform.