Q. No.A body moves from rest with a constant acceleration of 5 m/s2. Its instantaneous speed (in m/s) at the end of 10 sec is
1. 50
2. 5
3. 2
4. 0.5
A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second
1.
2.
3.
4.
The acceleration \(a\) in m/s2 of a particle is given by where t is the time. If the particle starts out with a velocity, \(u=2\) m/s at t = 0, then the velocity at the end of \(2\) seconds will be:
1. \(12\) m/s
2. \(18\) m/s
3. \(27\) m/s
4. \(36\) m/s
A particle moves along a straight line such that its displacement at any time \(t\) is given by \(S = t^{3} - 6 t^{2} + 3 t + 4\) metres. The velocity when the acceleration is zero is:
| 1. | \(4\) ms-1 | 2. | \(-12\) ms−1 |
| 3. | \(42\) ms−1 | 4. | \(-9\) ms−1 |
If a body starts from rest and travels 120 cm in the 6th second, then what is the acceleration
1. 0.20 m/s2
2. 0.027 m/s2
3. 0.218 m/s2
4. 0.03 m/s2
If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of
1. 20 m
2. 400 m
3. 1440 m
4. 2880 m
The position \(x\) of a particle varies with time \(t\) as \(x=at^2-bt^3\). The acceleration of the particle will be zero at time \(t\) equal to:
| 1. | \(\dfrac{a}{b}\) | 2. | \(\dfrac{2a}{3b}\) |
| 3. | \(\dfrac{a}{3b}\) | 4. | zero |
If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be
1. 20 ms–2
2. 10 ms–2
3. 2 ms–2
4.1 ms–2
The displacement of a particle starting from rest (at t = 0) is given by . The time in seconds at which the particle will attain zero velocity again, is
1. 2
2. 4
3. 6
4. 8
Two cars A and B are at rest at the same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with a constant acceleration of 4 m/s2, then B will catch A after how much time?
1. 10 sec
2. 20 sec
3. 30 sec
4. 35 sec
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