A body is projected vertically upward and then allowed to fall back down under gravity. Which of the following velocity–time \((v \text-t) \) graphs correctly represents its motion throughout the ascent and descent?
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A ball is thrown vertically up (taken as \(+z\)-axis) from the ground. The correct momentum\(\text-\)height (\(p\text{-}h\)) diagram is:
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A tennis ball is released from a height \(h\) and after freely falling on a wooden floor it rebounds and reaches height \(\frac{h}{2}\). The velocity versus height of the ball during its motion may be represented graphically by:
(graph are drawn schematically and on not to scale)
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The velocity (\(v\)) and time (\(t\)) graph of a body in a straight-line motion is shown in the figure. The point \(S\) occurs at \(4.333\) seconds. The total distance covered by the body in \(6\) s is:
1. \(12\) \(\text{m}\)
2. \(\dfrac{49}{12}\) \(\text{m}\)
3. \(11\) \(\text{m}\)
4. \(\dfrac{37}{3}\) \(\text{m} \)
If the velocity-time graph has the shape \(AMB,\) what would be the shape of the corresponding acceleration-time graph?
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| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
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| a. | \(\mathrm{A}\) is faster than \(\mathrm{B}\) |
| b. | \(\mathrm{B}\) is faster than \(\mathrm{A}\) |
| c. | \(\mathrm{B}\) lives further away than \(\mathrm{A}\) |
| d. | \(\mathrm{A}\) live further away than \(\mathrm{B}\) |
| 1. | (a), (d) |
| 2. | (b), (c) |
| 3. | (b), (d) |
| 4. | (a), (c) |
