1. | The acceleration is constant and non-zero. |
2. | The velocity changes suddenly during the motion. |
3. | The velocity is positive throughout. |
4. | All of the above are true. |
The position of an object moving along the \(x\text-\)axis is given by, \(x=a+bt^2\), where \(a=8.5 ~\text m,\) \(b=2.5~\text{m/s}^2,\) and \(t\) is measured in seconds. Its velocity at \(t=2.0~\text s\) will be:
1. \(13~\text{m/s}\)
2. \(17~\text{m/s}\)
3. \(10~\text{m/s}\)
4. \(0~\text{m/s}\)
(a) | The particle was released from rest at \(t = 0\). |
(b) | At \(B,\) the acceleration \(a > 0\). |
(c) | At \(C,\) the velocity and the acceleration vanish. |
(d) | Average velocity for the motion between \(A\) and \(D\) is positive. |
(e) | The speed at \(D\) exceeds that at \(E\). |
1. | (b), (c), (d) | 2. | (a), (b), (c), (d) |
3. | (a), (d) | 4. | (a), (c), (e) |
If in one-dimensional motion, instantaneous speed \(v\) satisfies \(0\leq v<v_0,\) then:
1. | the displacement in time \(T\) must always take non-negative values. |
2. | the displacement \(x\) in time \(T\) satisfies \(-{v_0T} \lt x \lt {v_0T}.\) |
3. | the acceleration is always a non-negative number. |
4. | the motion has no turning points. |
Among the four graphs shown in the figure, there is only one graph for which average velocity over the time interval \((0,T)\) can vanish for a suitably chosen \(T\). Select the graph.
1. | 2. | ||
3. | 4. |
A Cheetah can accelerate from \(0\) to \(96\) km/h in \(2\) s. What is the average acceleration of the Cheetah?
1. \(10\) m/s2
2. \(13.3\) m/s2
3. \(15\) m/s2
4. \(48\) m/s2