IMU-CET / Sponsorship Test Style MCQs
Q1. The position of a particle is given by x(t) = 5t^2 + 2t + 3 (in meters). What is the acceleration at t
= 2 s?
a) 18 m/s²
b) 32 m/s²
c) 0
d) 10 m/s²
Q2. A car travels half the distance at 40 km/h and the other half at 60 km/h. What is its average
speed?
a) 40 km/h
b) 48 km/h
c) 52 km/h
d) 60 km/h
Q3. A projectile is launched at angle θ. If its maximum height is 25 m and its range is 100 m, find θ.
a) 30°
b) 45°
c) 60°
d) 90°
Q4. A 100 g ball moving at 20 m/s reverses direction to 30 m/s after hitting a bat. What is the
impulse delivered?
a) 5 N·s
b) 10 N·s
c) 15 N·s
d) 20 N·s
Q5. A body moving at 72 km/h enters a rough horizontal surface (µ = 0.5). Minimum stopping
distance? (Take g = 10 m/s²).
a) 10 m
b) 20 m
c) 30 m
d) 40 m
Q6. A car of mass 1000 kg moves along a horizontal circular road radius 20 m. If coefficient of
friction is 0.6, maximum speed?
a) 10.8 m/s
b) 15 m/s
c) 18 m/s
d) 20 m/s
Q7. Two blocks of masses 6 kg and 4 kg are in contact on a smooth horizontal surface. A force of 5
N is applied to the 6 kg block. What force acts on the 4 kg block?
a) 2 N
b) 3 N
c) 4 N
d) 5 N
Q8. A lift of mass 200 kg ascends with acceleration 2 m/s². What is the tension in the supporting
cable? (Take g = 10 m/s²).
a) 2000 N
b) 2400 N
c) 2800 N
d) 3000 N
Q9. A particle starts from rest and moves with uniform acceleration. If it covers 100 m in 5 s, what is
the acceleration?
a) 4 m/s²
b) 5 m/s²
c) 8 m/s²
d) 10 m/s²
Q10. A bullet of mass 20 g moving with velocity 300 m/s is brought to rest in a wooden block in 0.01
s. Average retarding force?
a) 300 N
b) 400 N
c) 500 N
d) 600 N
Q11. If net force on a body is zero, the body must have:
a) Zero velocity
b) Constant velocity
c) Increasing velocity
d) Decreasing velocity
Q12. A train is moving at 72 km/h. It is brought to rest in 200 m. Retardation?
a) 2 m/s²
b) 3 m/s²
c) 4 m/s²
d) 5 m/s²
Q13. Which law of Newton defines force quantitatively?
a) First law
b) Second law
c) Third law
d) Law of gravitation
Q14. A body of mass 5 kg is moving with velocity 4 m/s. Its momentum?
a) 5 kg·m/s
b) 10 kg·m/s
c) 15 kg·m/s
d) 20 kg·m/s
Q15. The unit of impulse is same as that of:
a) Work
b) Force
c) Momentum
d) Power
Q16. Which of the following is a vector?
a) Work
b) Power
c) Energy
d) Impulse
Q17. The motion of a body under a constant force is:
a) Uniform motion
b) Uniformly accelerated motion
c) Random motion
d) Rotational motion
Q18. A 2 kg block is pushed by a force of 10 N. Acceleration produced?
a) 2 m/s²
b) 3 m/s²
c) 4 m/s²
d) 5 m/s²
Q19. If velocity-time graph is a straight line parallel to time axis, motion is:
a) Accelerated
b) Retarded
c) Uniform
d) Oscillatory
Q20. A stone is dropped from a height of 45 m. Time taken to reach the ground? (g=10 m/s²)
a) 2 s
b) 3 s
c) 4 s
d) 5 s
Q21. For a body in equilibrium under forces, the vector sum of forces is:
a) Zero
b) Infinite
c) Constant
d) None
Q22. The slope of velocity-time graph gives:
a) Displacement
b) Speed
c) Acceleration
d) Jerk
Q23. A man weighing 600 N stands in a lift moving upward with acceleration 2 m/s². Apparent
weight? (g=10 m/s²)
a) 600 N
b) 720 N
c) 840 N
d) 1000 N
Q24. A body of mass 10 kg is acted upon by two opposite forces 25 N and 15 N. Acceleration
produced?
a) 0.5 m/s²
b) 1 m/s²
c) 1.5 m/s²
d) 2 m/s²
Answer Key
Q1: a) 18 m/s²
Q2: b) 48 km/h
Q3: a) 30°
Q4: b) 10 N·s
Q5: d) 40 m
Q6: c) 18 m/s
Q7: a) 2 N
Q8: b) 2400 N
Q9: a) 4 m/s²
Q10: d) 600 N
Q11: b) Constant velocity
Q12: c) 4 m/s²
Q13: b) Second law
Q14: d) 20 kg·m/s
Q15: c) Momentum
Q16: d) Impulse
Q17: b) Uniformly accelerated motion
Q18: d) 5 m/s²
Q19: c) Uniform
Q20: b) 3 s
Q21: a) Zero
Q22: c) Acceleration
Q23: b) 720 N
Q24: b) 1 m/s²
