Q. No.A thief is running away on a straight road in a jeep moving with a speed of \(9\) m/s. A policeman chases him on a motorcycle moving at a speed of \(10\) m/s. If the instantaneous separation of the jeep from the motorcycle is \(100\) m, how long will it take for the policeman to catch the thief?
1. \(1\) s
2. \(19\) s
3. \(90\) s
4. \(100\) s
If the body covers one-third distance at speed v1, next one third at speed v2 and last one third at speed v3, then average speed will be
1.
2.
3.
4.
A body has speed V, 2V and 3V in first 1/3 of distance S, second 1/3 of S and third 1/3 of S respectively. Its average speed will be
1. V
2. 2V
3.
4.
A car A is travelling on a straight level road with a uniform speed of 60 km/h. It is followed by another car B which is moving with a speed of 70 km/h. When the distance between them is 2.5 km, the car B is given a deceleration of 20 km/h2. After how much time will B catch up with A
1. 1 hr
2. 1/2 hr
3. 1/4 hr
4. 1/8 hr
A car travels a distance S on a straight road in two hours and then returns to the starting point in the next three hours. Its average velocity is
1. S/5
2. 2S/5
3. S/2 + S/3
4. None of the above
| 1. | \(-\frac{1}{2}\left(a\omega^2\sin\omega t\right)t^2\) | 2. | \(a\omega \sin \omega t\) |
| 3. | \(a\omega \cos \omega t\) | 4. | \(a\sin \omega t\) |
The displacement of the particle varies with time according to the relation . Then the velocity of the particle is
1.
2.
3.
4. None of these
A particle moves along the sides \(AB,BC,CD\) of a square of side \(25~\text{m}\) with a speed of \(15~\text{ms}^{-1}\). Its average velocity is:
1. \(15~\text{ms}^{-1}\)
2. \(10~\text{ms}^{-1}\)
3. \(7.5~\text{ms}^{-1}\)
4. \(5~\text{ms}^{-1}\)
If the velocity of a particle is (10 + 2t2) m/s, then the average acceleration of the particle between 2 sec and 5 sec is:
1. 2 m/s2
2. 4 m/s2
3. 12 m/s2
4. 14 m/s2
Read the assertion and reason carefully to mark the correct option out of the options given below:
Assertion (A):
The average and instantaneous velocities have the same value in a uniform motion.
Reason (R):
In uniform motion, the velocity of an object increases uniformly.
1.
Both (A) and (R) are true and (R) is the correct explanation of (A).
2.
Both (A) and (R) are true but (R) is not the correct explanation of (A).
3.
(A) is true but (R) is false.
4.
(A) is false but (R) is true.
© 2025 GoodEd Technologies Pvt. Ltd.