- 1(current)
Q. No.Two cars \(A\) and \(B\) start moving along the same straight road, from the same point, simultaneously. The first car \((A)\) accelerates uniformly to a maximum speed of \(v_0\) and then decelerates uniformly to a stop. The second car \((B)\) accelerates uniformly to the same maximum speed \(v_0\) and then decelerates uniformly to a stop. The acceleration of \(A\) is twice that of \(B,\) and they both spend the same total time during the motion. Then,
Choose the correct option from the given ones:
| (A) | distance travelled by \(A\) = distance travelled by \(B\) |
| (B) | acceleration time of \(A\) = \(\dfrac12\) acceleration time of \(B\) |
| (C) | relative velocity of \(A\) with respect to \(B\) is always positive |
| (D) | deceleration time of \(A\) = \(2×\) deceleration time of \(B\) |
Choose the correct option from the given ones:
| 1. | (A) is True. |
| 2. | (A), (B) are True. |
| 3. | (A), (B), (C) are True. |
| 4. | (B), (C), (D) are True. |
Subtopic: Acceleration |
Level 3: 35%-60%
Hints
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A balloon ascends upward with a constant upward velocity \(5\) m/s. At the same time, it is being pushed to the right by the wind with a speed that is proportional to its height \((y)\): \(v_\text{right}=2y \)
where the units are in SI. The acceleration of the balloon is:
1. zero
2. \(10~\text{ms}^{-2}\) to right
3. \(5~\text{ms}^{-2}\) to right
4. \(10~\text{ms}^{-2}\) upward
where the units are in SI. The acceleration of the balloon is:
1. zero
2. \(10~\text{ms}^{-2}\) to right
3. \(5~\text{ms}^{-2}\) to right
4. \(10~\text{ms}^{-2}\) upward
Subtopic: Acceleration |
Level 3: 35%-60%
Hints
The velocity-time graph of a particle, moving along a straight time, is shown in the figure. The curve, when plotted, takes the form of a 'circle'. The magnitude of the average acceleration of the particle is:
| 1. | \(1\) m/s2 |
| 2. | \(2\) m/s2 |
| 3. | less than \(1\) m/s2 |
| 4. | greater than \(2\) m/s2 |
Subtopic: Acceleration |
61%
Level 2: 60%+
Hints
A particle moves along a straight line such that its velocity is proportional to the square root of its displacement. Its acceleration is:
| 1. | zero |
| 2. | constant |
| 3. | proportional to time |
| 4. | proportional to displacement |
Subtopic: Acceleration |
69%
Level 2: 60%+
Hints
Two particles move with constant speeds of \(3~\text{m/s}\) and \(5~\text{m/s}\) along the periphery of a square \(ABCD\) of side \(2~\text{m}\) (as shown). They start from \(A\) at the same time.
Their average accelerations, over the motion till they meet for the first time, are:
Their average accelerations, over the motion till they meet for the first time, are:
| 1. | \(3\sqrt2~\text{m/s}^2,5\sqrt2~\text{m/s}^2 \) | 2. | \(3~\text{m/s}^2,5~\text{m/s}^2 \) |
| 3. | \(3\sqrt2~\text{m/s}^2,10~\text{m/s}^2 \) | 4. | \(6~\text{m/s}^2,10~\text{m/s}^2 \) |
Subtopic: Acceleration |
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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