For the given acceleration \(\left ( a \right )\) versus time \(\left ( t \right )\) graph of a body, the body is initially at rest.
From the following, the velocity \(\left ( v \right )\) versus time \(\left ( t \right )\) graph will be:
1. | 2. | ||
3. | 4. |
A particle moves with a velocity along a straight line. The average speed in time interval \(t=0\) to \(t=T\) will be:
1.
2.
3.
4.
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. |
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 |
A body is moving along a straight line according to the equation of motion, x, where x is in metre and t is in seconds. What is the acceleration of the body when it comes to rest?
1. Zero
2.
3.
4.
A particle is allowed to fall from rest from a height \(h\). Which of the following represents its velocity versus time graph?
1. | 2. | ||
3. | 4. |
A particle is moving along the positive x-axis with some initial velocity. The acceleration-time graphs are shown. In which case the velocity of the particle will increase for the entire time between \(t_1\) and \(t_2\)?
1. | only in (II) |
2. | in (I) and (III) |
3. | in (I) and (II) |
4. | in (I), (II) and (III) |
The graph below shows position as a function of time for two trains running on parallel tracks.
Which of the following statements is true?
1. | At time \(t_B \) both the trains have the same velocity |
2. | Both the trains have the same velocity at some time after \(t_B \) |
3. | Both the trains have the same velocity at some time before \(t_B \) |
4. | Both the trains have the same acceleration |
Two stones are thrown vertically up simultaneously with different velocities. Which of the following graphs represents the relative separation \((\Delta y)\) between them as a function of time \((t)\)?
1. | 2. | ||
3. | 4. |
The velocity \(v\) of an object varies with its position \(x\) on a straight line as \(v=3\sqrt{x}.\) Its acceleration versus time \((a\text-t)\) graph is best represented by:
1. | 2. | ||
3. | 4. |