Uniformly accelerated motion, velocity time relations, position time relations - Question Bank
1. What is the final velocity of the body in the previous question?
2. A body starts from rest and moves with uniform acceleration. After 10 seconds, it has covered 100 meters. What is its acceleration?
3. The equation that relates displacement, initial velocity, and final velocity without involving time is:
4. If the acceleration is constant and negative, the velocity-time graph is:
5. If the acceleration is constant and positive, the velocity-time graph is:
6. If the acceleration is zero, the velocity-time graph is:
7. The position of a particle is given by x(t) = 10 + 3t + 2t^2. This represents motion with:
8. The velocity of a particle is given by v(t) = 5 + 2t. This represents motion with:
9. If an object covers distances in the ratio 1:3:5 in consecutive equal time intervals, its motion is:
10. What is the final velocity of the cyclist in the previous question?
11. A cyclist starts from rest and accelerates uniformly at 1.5 m/s^2 for 10 seconds. What distance does the cyclist cover?
12. Which of the following equations is dimensionally correct?
13. If an object's displacement-time graph is a curve with increasing slope, it implies:
14. The motion of a freely falling body near the Earth's surface (neglecting air resistance) is an example of:
15. What is the displacement of the particle in the previous question after 10 seconds?
16. A particle moves with an initial velocity of 5 m/s and a uniform acceleration of 2 m/s^2. What is its velocity after 10 seconds?
17. Which kinematic equation can be used to find the final velocity if initial velocity, acceleration, and displacement are known?
18. If an object's velocity-time graph is a horizontal line, it means the object has:
19. What is the displacement of the car in the previous question after 4 seconds?
20. A car accelerates from rest at 2 m/s^2. What is its velocity after 4 seconds?
21. For an object moving with uniform acceleration, the displacement in the nth second is given by:
22. Which kinematic equation can be rearranged to find the time taken to reach a certain velocity?
23. If an object's velocity is decreasing at a constant rate, it is undergoing:
24. What is the time taken for the stone in the previous question to reach its maximum height?
25. A stone is thrown vertically upwards with a velocity of 20 m/s. What is the maximum height it reaches? (g = 10 m/s^2)
26. The relation s = (u + v)t / 2 is valid for:
27. If an object is decelerating uniformly, its acceleration is:
28. What is the displacement of the train in the previous question during this time interval?
29. A train accelerates uniformly from 20 m/s to 50 m/s in 10 seconds. What is the magnitude of its acceleration?
30. The equation s = vt - (1/2)at^2 relates displacement (s), final velocity (v), acceleration (a), and time (t). This equation is derived from which fundamental kinematic relation?
31. If the velocity-time graph is a straight line with a negative slope, the object is undergoing:
32. If the velocity-time graph is a straight line with a positive slope, the object is undergoing:
33. A particle starts from rest and travels a distance 's' in time 't'. If it continues with the same acceleration, how much distance will it cover in the next time interval 't'?
34. Which of the following is NOT a characteristic of uniform acceleration?
35. Consider an object thrown vertically upwards with an initial velocity. Its motion is an example of:
36. If an object has a constant velocity, its acceleration is:
37. What distance does the ball in the previous question cover in 3 seconds?
38. A ball is dropped from a height. Assuming negligible air resistance and uniform acceleration due to gravity, what is its velocity after 3 seconds? (g = 9.8 m/s^2)
39. If a car accelerates uniformly from 10 m/s to 30 m/s in 5 seconds, what is its acceleration?
40. The area under the velocity-time graph for uniformly accelerated motion represents:
41. The slope of the velocity-time graph for uniformly accelerated motion represents:
42. What is the average velocity of an object undergoing uniform acceleration if its initial velocity is u and final velocity is v?
43. Which kinematic equation is useful when time is not given or not needed?
44. If an object is moving with uniform acceleration, its acceleration (a) is:
45. In the equation s = ut + (1/2)at^2, what does 's' represent?
46. If an object starts from rest and moves with uniform acceleration, its initial velocity (u) is:
47. Which equation describes the position (s) of an object in uniformly accelerated motion as a function of time (t), initial velocity (u), and acceleration (a)?
48. For an object undergoing uniformly accelerated motion, which equation correctly relates final velocity (v), initial velocity (u), acceleration (a), and displacement (s)?
49. Which of the following equations represents the correct relation between final velocity (v), initial velocity (u), acceleration (a), and time (t) for uniformly accelerated motion?