The displacement of a particle, moving in a straight line, is given by where s is in metres and t in seconds. The acceleration of the particle is
1. 2 m/s2
2. 4 m/s2
3. 6 m/s2
4. 8 m/s2
The velocity of a bullet is reduced from 200m/s to 100m/s while travelling through a wooden block of thickness 10cm. The retardation, assuming it to be uniform, will be
1. m/s2
2. m/s2
3. m/s2
4. m/s2
A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it?
1. 750 m
2. 800 m
3. 700 m
4. 850 m
A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is
1. 6m
2. 12m
3. 18m
4. 24m
A student is standing at a distance of \(50\) metres from the bus. As soon as the bus begins its motion with an acceleration of \(1\) ms–2, the student starts running towards the bus with a uniform velocity \(u\). Assuming the motion to be along a straight road, the minimum value of \(u\), so that the student is able to catch the bus is:
1. \(5\) ms–1
2. \(8\) ms–1
3. \(10\) ms–1
4. \(12\) ms–1
A body A moves with a uniform acceleration a and zero initial velocity. Another body B, starts from the same point moves in the same direction with a constant velocity v. The two bodies meet after a time t. The value of t is
1.
2.
3.
4.
A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation . The initial velocity of the particle is
1. –5 m/s
2. 6 m/s
3. –3 m/s
4. 3 m/s
A car starts from rest and moves with uniform acceleration 'a' on a straight road from time t = 0 to t = T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is:
1.
2.
3.
4. aT
An object accelerates from rest to a velocity of 27.5 m/s in 10 sec . Then find the distance covered by the object in the next 10 sec:
1. 550 m
2. 137.5 m
3. 412.5 m
4. 275 m
If the velocity of a particle is given by \(v = (180-16x)^{1/2}~\text{m/s}\), then its acceleration will be:
1. | zero | 2. | \(8\) m/s2 |
3. | \(-8\) m/s2 | 4. | \(4\) m/s2 |