The displacement \((x)\) of a point moving in a straight line is given by; \(x=8t^2-4t.\) Then the velocity of the particle is zero at:
1. | \(0.4\) s | 2. | \(0.25\) s |
3. | \(0.5\) s | 4. | \(0.3\) s |
The velocity v of an object varies with its position x on a straight line as . Its acceleration versus time (a-t) graph is best represented by:
1. | 2. | ||
3. | 4. |
A particle is moving along the x-axis such that its velocity varies with time as per the equation . At t=0 particle is at the origin. From the following, select the correct position (x) - time (t) plot for the particle:
1. | 2. | ||
3. | 4. |
Suppose you are riding a bike with a speed of 20 m/s due east relative to a person A who is walking on the ground towards the east. If your friend B walking on the ground due west measures your speed as 30 m/s due east, find the relative velocity between two reference frames A and B:-
1. The velocity of A with respect to B is 5 m/s towards the east
2. The velocity of A with respect to B is 5 m/s towards the west
3. The velocity of A with respect to B is 10 m/s towards the east
4. The velocity of A with respect to B is 10 m/s towards the west
An elevator whose floor to ceiling height is 12 meters, moves upward with an acceleration of . After 1.5 seconds since starting, a bolt falls from its ceiling. The time taken by the bolt to reach the floor is
1. 1 s
2. 2 s
3. s
4. s
The position (x) of a particle in a straight line motion is given by . Its velocity (v) is best represented by?
1. | 2. | ||
3. | 4. |
A body starting from rest moves with uniform acceleration on a horizontal surface. The body covers 3 consecutive equal distances from the beginning in time seconds. The ratio of is:
1. 1: 2 : 3
2.
3.
4.
A ball is thrown vertically downwards with a velocity of 20 m/s from the top of a tower. It hits the ground after some time with the velocity of 80 m/s . The height of the tower is: (assuming
1. | 340 m | 2. | 320 m |
3. | 300 m | 4. | 360 m |
A particle starts from rest (with constant acceleration) and acquires velocity 20 m/s in 5s. The distance travelled by the particle in the next 2 s will be:
1. | 50 m | 2. | 48 m |
3. | 100 m | 4. | 150 m |
A drunkard walking in a narrow lane takes \(5\) steps forward and \(3\) steps backward, followed again by \(5\) steps forward and \(3\) steps backward, and so on. Each step is \(1\) m long and requires \(1\) s. There is a pit on the road \(13\) m away from the starting point. The drunkard will fall into the pit after:
1. \(37\) s
2. \(31\) s
3. \(29\) s
4. \(33\) s