A ball is thrown upward with a certain speed. It passes through the same point at 3 second and 7 second from the start. The maximum height achieved by the ball is:
1. 500 m
2. 250 m
3. 125 m
4. 450 m
For the following acceleration versus time graph the corresponding velocity versus displacement graph is:
1. | 2. | ||
3. | 4. |
The displacement \(x\) of a particle moving in one dimension under the action of a constant force is related to time \(t\) by the equation \(t=\sqrt{x}+3,\) where \(x\) is in meters and \(t\) is in seconds. What is the displacement of the particle from \(t=0~\text s\) to \(t = 6~\text s?\)
1. \(0\)
2. \(12~\text m\)
3. \(6~\text m\)
4. \(18~\text m\)
The acceleration \(a\) (in ) of a body, starting from rest varies with time \(t\) (in \(\mathrm{s}\)) as per the equation \(a=3t+4.\) The velocity of the body at time \(t=2\) \(\mathrm{s}\) will be:
1. | \(10~\text{ms}^{-1}\) | 2. | \(18~\text{ms}^{-1}\) |
3. | \(14~\text{ms}^{-1}\) | 4. | \(26~\text{ms}^{-1}\) |
A body thrown vertically so as to reach its maximum height in t second. The total time from the time of projection to reach a point at half of its maximum height while returning (in second) is:
1.
2.
3.
4.
A stone falls freely from rest from a height h and it travels a distance in the last second. The value of h is:
1. 145 m
2. 100 m
3. 125 m
4. 200 ms
A point moves in a straight line under the retardation \(av^2\). If the initial velocity is \(u,\) the distance covered in \(t\) seconds is:
1. \((aut)\)
2. \(\frac{1}{a}\mathrm{ln}(aut)\)
3. \(\frac{1}{a}\mathrm{ln}(1+aut)\)
4. \(a~\mathrm{ln}(aut)\)
A bullet loses of its velocity passing through a plank. The least number of planks required to stop the bullet is (All planks offers same retardation)
(1) 10
(2) 11
(3) 12
(4) 23
A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by , where t is in sec and velocity in m/s. What is the acceleration of the particle, when it is 2 m from the origin ?
1. 28 m/s2
2. 22 m/s2
3. 12 m/s2
4. 10 m/s2