Motion in a Straight Line Test Online MCQs

1. Particles moves along x-axis in such a way that its coordinate (x) varies with time (t) according to the expression x = 2 – 5t + 6t².The initial velocity of the particle is:

2. The speed of the car is reduced to one third of its original value in travelling a distance S. Then the car is brought to rest in a minimum distance.

3. A tiger chases a deer 30 m ahead of it and gains 3m in first 5s after the chase started. After 10s, the distance between them is (considered both at rest initially)

4. A body falls freely from top of a tower and falls 7/16^th of the total distance in its last second. The time taken by the body to complete motion is:

5. A particle moves in xy  = plane according to equation x = 4t² + 5t + 16, y = 5t. The acceleration of the particle must be:

6. A body covers 200 cm in the first 2 seconds and 220 cm in the next 4 seconds. The velocity at the end of 7^th second is:

7. A car moving at 12 m/s due east attains a speed of 16 m/s towards north in 4 seconds. The magnitude of its average acceleration in m/s² is:

8. The initial velocity of a particle is u (at, t = 0) and the acceleration f is given by at, where “a” is a constant. Which of the following relations is valid:

9. The velocity of a body depends on time according to the equation v = 20 + 0.1 t². The body is undergoing.

10. A car covers the first half distance at 40 km per hour and the second half distance at 60 km hour along a straight road. The average speed is:

11. A stone is allowed to fall from atop of a tower and covers half the height of tower in the last second of its journey, the approximate height of tower is (g = 9.8 m^-2)

12. If the velocity of a particle is given by v = √180 – 16x. Its acceleration will be:

13. A body falls freely without an initial velocity from a height of 20 metres. At what height will it reach a velocity equal to half the velocity with which it reaches the ground

14. Two balls of the same mass are thrown upwards at an interval of 2 seconds, along the same vertical line with the same initial velocity of 39.2 ms^-1. They will collide at a height.

15. A stone is allowed to fall from the top of a tower and; covers half the height of tower in the last second of its journey. The time taken by the stone to reach the foot of the tower is:

16. A stone thrown vertically upward flies past a window one second after it was thrown upward and after three seconds  on its way downward the initial velocity of stone is:

17. A ship of mass 3 x 10⁷kg, initially at rest, is pulled by force of 5 x 10⁴ N through a distance of 3m. Assuming that the resistance due to water is negligible the speed of the ship is:

18. A balloon is at a height of 81 meters and is ascending upwards with a velocity of 12 m/s. A body of 2kg weight is dropped from it. If g = 10 m/s^-2, the body will reach the surface of the earth in:

19. A body is projected vertically with a speed of 20 m/s in a region where g = 10 m/s². The distance travelled in  3 seconds is:

20. The distance travelled by a body falling from rest in the first, second and third seconds are in the ratio