ECAT — Engineering College Admission Test (UET)

ECAT Physics — Motion, Force and Momentum (Set 1)

Take the ECAT Physics — Motion, Force and Momentum (Set 1): 30 multiple-choice questions (40 minutes) with instant scoring and a full answer review.…

What this test covers

• 30 ECAT Physics

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

1. Q1. A cyclist starting from rest gains 2 m/s of speed every second. What distance does she cover in the first 5 s?

   • A. 12.5 m
   • B. 50 m
   • C. 25 m ✓
   • D. 10 m

   Answer: C. 25 m

   Explanation: Acceleration = 2 m/s², so S = ½at² = ½ × 2 × 25 = 25 m.

2. Q2. A stone thrown straight up returns to the thrower's hand 4 s later. What greatest height did it reach? (g = 10 m/s²)

   • A. 20 m ✓
   • B. 80 m
   • C. 10 m
   • D. 40 m

   Answer: A. 20 m

   Explanation: Time to the top = 2 s, so H = ½gt² = ½ × 10 × 2² = 20 m.

3. Q3. For a velocity–time graph, which statement is correct?

   • A. The slope gives velocity and the area gives distance
   • B. The slope gives displacement and the area gives acceleration
   • C. The area under it gives acceleration
   • D. The slope gives acceleration and the area under it gives displacement ✓

   Answer: D. The slope gives acceleration and the area under it gives displacement

   Explanation: a = Δv/Δt is the slope; ∫v dt (the area) is the displacement.

4. Q4. A car moving at 20 m/s is brought to rest in a distance of 40 m by its brakes. What is the magnitude of its deceleration?

   • A. 5 m/s² ✓
   • B. 2.5 m/s²
   • C. 10 m/s²
   • D. 0.5 m/s²

   Answer: A. 5 m/s²

   Explanation: v² = u² − 2aS gives 0 = 400 − 2a(40), so a = 5 m/s².

5. Q5. A stone is dropped from rest. How far does it fall during the 3rd second of its motion? (g = 10 m/s²)

   • A. 25 m ✓
   • B. 20 m
   • C. 30 m
   • D. 45 m

   Answer: A. 25 m

   Explanation: Distance in nth second = g(n − ½) = 10 × 2.5 = 25 m (45 m in 3 s minus 20 m in 2 s).

The other 25 questions

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6. Q6. A projectile is launched at 40 m/s at 30° above the horizontal. What is its time of flight? (g = 10 m/s²)

   • A. 8 s
   • B. 4 s
   • C. 6.9 s
   • D. 2 s

7. Q7. Neglecting air resistance, a projectile fired at 25° to the horizontal has the same range as one fired with the same speed at:

   • A. 45°
   • B. 65°
   • C. 50°
   • D. 75°

8. Q8. A ball is thrown horizontally at 20 m/s from the top of a cliff 45 m high. How far from the foot of the cliff does it land? (g = 10 m/s²)

   • A. 45 m
   • B. 60 m
   • C. 30 m
   • D. 90 m

9. Q9. At the highest point of a projectile's path (no air resistance):

   • A. its velocity and acceleration are both zero
   • B. its velocity is zero but its acceleration is g
   • C. its acceleration is zero but its velocity is horizontal
   • D. its velocity is horizontal and its acceleration is g downward

10. Q10. Forces of 30 N towards east and 10 N towards west act on a 5 kg body. What is its acceleration?

    • A. 2 m/s² towards east
    • B. 4 m/s² towards east
    • C. 4 m/s² towards west
    • D. 8 m/s² towards east

11. Q11. A 60 kg man stands on a weighing machine in a lift accelerating upward at 2 m/s². What does the machine read? (g = 10 m/s²)

    • A. 720 N
    • B. 120 N
    • C. 480 N
    • D. 600 N

12. Q12. Masses of 3 kg and 2 kg hang from the ends of a light string passing over a frictionless pulley. What is the tension in the string? (g = 10 m/s²)

    • A. 24 N
    • B. 30 N
    • C. 20 N
    • D. 50 N

13. Q13. Blocks of 4 kg and 6 kg are in contact on a smooth horizontal floor. A 20 N horizontal force pushes the 4 kg block. What force does the 4 kg block exert on the 6 kg block?

    • A. 12 N
    • B. 20 N
    • C. 10 N
    • D. 8 N

14. Q14. A 0.5 kg ball hits a wall at 20 m/s and rebounds along the same line at 10 m/s. What is the magnitude of the impulse on the ball?

    • A. 15 N s
    • B. 7.5 N s
    • C. 10 N s
    • D. 5 N s

15. Q15. A force of 200 N acts for 0.1 s on a 2 kg ball initially at rest. What speed does the ball acquire?

    • A. 1 m/s
    • B. 10 m/s
    • C. 20 m/s
    • D. 40 m/s

16. Q16. A 4 kg gun fires a 20 g bullet with a muzzle speed of 400 m/s. What is the recoil speed of the gun?

    • A. 20 m/s
    • B. 8 m/s
    • C. 2 m/s
    • D. 0.2 m/s

17. Q17. A 2 kg trolley moving at 6 m/s collides with and sticks to a 1 kg trolley at rest. How much kinetic energy is lost in the collision?

    • A. 24 J
    • B. 6 J
    • C. 12 J
    • D. 36 J

18. Q18. A ball moving with velocity v makes a head-on elastic collision with an identical ball at rest. After the collision:

    • A. both balls stop
    • B. the first ball stops and the second moves with velocity v
    • C. the first ball rebounds with velocity v
    • D. both balls move with velocity v/2

19. Q19. A very heavy ball moving with velocity v collides elastically head-on with a very light ball at rest. The light ball moves off with a velocity of about:

    • A. v/2
    • B. 2v
    • C. zero
    • D. v

20. Q20. A rocket ejects exhaust gases at 5 kg/s with a speed of 2000 m/s relative to the rocket. What is the thrust on the rocket?

    • A. 1000 N
    • B. 10000 N
    • C. 400 N
    • D. 2000 N

21. Q21. If the momentum of a body is doubled without changing its mass, its kinetic energy becomes:

    • A. twice
    • B. eight times
    • C. four times
    • D. half

22. Q22. Body A (mass 1 kg) and body B (mass 9 kg) move with the same kinetic energy. What is the ratio of their momenta, p_A : p_B?

    • A. 1 : 81
    • B. 1 : 3
    • C. 3 : 1
    • D. 1 : 9

23. Q23. The mass of a body is a measure of its:

    • A. momentum
    • B. weight
    • C. acceleration
    • D. inertia

24. Q24. A particle moves along a semicircle of radius 7 m from one end of a diameter to the other. What is the magnitude of its displacement?

    • A. 7 m
    • B. 22 m
    • C. 14 m
    • D. 44 m

25. Q25. A car covers the first half of a journey at 40 km/h and the second half (equal distance) at 60 km/h. What is its average speed for the whole journey?

    • A. 48 km/h
    • B. 50 km/h
    • C. 52 km/h
    • D. 45 km/h

26. Q26. What is the maximum horizontal range of a projectile launched with a speed of 30 m/s? (g = 10 m/s²)

    • A. 90 m
    • B. 45 m
    • C. 30 m
    • D. 180 m

27. Q27. A ball is launched so that its horizontal range is 4√3 times the greatest height it reaches. What is the launch angle above the horizontal?

    • A. 45°
    • B. 60°
    • C. 30°
    • D. 15°

28. Q28. Which statement about an action–reaction pair (Newton's third law) is correct?

    • A. The two forces act on the same body and cancel
    • B. The two forces act on different bodies
    • C. The two forces can be of different kinds
    • D. The reaction acts slightly after the action

29. Q29. A horizontal jet of water strikes a wall at 10 m/s at a rate of 2 kg/s and comes to rest. What force does the water exert on the wall?

    • A. 20 N
    • B. 5 N
    • C. 10 N
    • D. 200 N

30. Q30. For a body falling freely from rest, the distances covered in the 1st, 2nd and 3rd seconds are in the ratio:

    • A. 1 : 3 : 5
    • B. 1 : 1 : 1
    • C. 1 : 4 : 9
    • D. 1 : 2 : 3