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Q. No.A particle moves along the \(x\text-\)axis with displacement:
\(x=u(t-2)+a(t-2)^2,\)
where \(u\) and \(a\) are constants and \(t\) is time (in seconds).
Consider the following statements:
| (A) | The initial velocity of the particle is \(u.\) |
| (B) | The acceleration of the particle is \(a.\) |
| (C) | The acceleration of the particle is \(2a.\) |
| (D) | At \(t=2\) s, particle is at the origin. |
Choose the correct option from the options given below:
| 1. | (A) and (B) only |
| 2. | (B) and (C) only |
| 3. | (C) and (D) only |
| 4. | (A) and (D) only |
Mark the correct statements for a particle going on a straight line:
| (a) | if the velocity and acceleration have opposite sign, the object is slowing down. |
| (b) | if the position and velocity have opposite sign, the particle is moving towards the origin. |
| (c) | if the velocity is zero at an instant, the acceleration should also be zero at that instant. |
| (d) | if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval. |
Choose the correct option:
| 1. | (a), (b) and (c) | 2. | (a), (b) and (d) |
| 3. | (b), (c) and (d) | 4. | all of these |
The velocity of a particle is zero at t = 0.
(a) The acceleration at t = 0 must be zero
(b) The acceleration at t = 0 may be zero
(c) If the acceleration is zero from t = 0 to t = 10 s, the speed is also zero in this interval
(d) If the speed is zero from t = 0 to t = 10s the acceleration is also zero in this interval
Choose the correct option:
1. (a), (b) and (c)
2. (b), (c) and (d)
3. (c), (d) and (a)
4. (a), (b) and (d)
Mark the correct statements:
| 1. | The magnitude of the velocity of a particle is equal to its speed. |
| 2. | The magnitude of average velocity in an interval is equal to its average speed in that interval. |
| 3. | It is possible to have a situation in which the speed of a particle is always zero but the average speed is not zero. |
| 4. | It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero. |
The velocity-time \((v \text-t)\) plot for a particle moving in a straight line is shown in the figure. Based on the graph, evaluate the following statements:
| (A) | The particle has a constant acceleration. |
| (B) | The particle has never turned around. |
| (C) | The particle has zero displacement. |
| (D) | The average speed in the interval \(0\) to \(10\)s is the same as the average speed in the interval \(10\)s to \(20\)s. |
Correct statements, from the four statements (A to D) given above, are:
| 1. | (A) and (B) only |
| 2. | (B) and (C) only |
| 3. | (C) and (D) only |
| 4. | (A) and (D) only |
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Q. No.
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