A body is thrown vertically upwards with velocity u. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity u is given by (g = 9.8 m/s2)
(1) 24.5 m/s
(2) 49.0 m/s
(3) 73.5 m/s
(4) 98.0 m/s
A parachutist after bailing out falls \(50~\text{m}\) without friction. When parachute opens, it decelerates at \(2~\text{m/s}^2\). He reaches the ground with a speed of \(3~\text{m/s}\). At what height, did he bail out ?
1. \(293~\text{m}\)
2. \(111~\text{m}\)
3. \(91~\text{m}\)
4. \(182~\text{m}\)
When a ball is thrown up vertically with velocity v0, it reaches a maximum height of 'h'. If one wishes to triple the maximum height then the ball should be thrown with velocity
1.
2. 3v0
3. 9v0
4. (3/2)v0
A particle moving in a straight line covers half the distance with a speed of \(3~\text{m/s}\). The other half of the distance is covered in two equal time intervals with speeds of \(4.5~\text{m/s}\) and \(7.5~\text{m/s}\) respectively. The average speed of the particle during this motion is:
1. \(4.0~\text{m/s}\)
2. \(5.0~\text{m/s}\)
3. \(5.5~\text{m/s}\)
4. \(4.8~\text{m/s}\)
The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity of v0. The distance travelled by the particle in time t will be:
(1)
(2)
(3)
(4)
A particle starts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be:
1. 110 m/s
2. 55 m/s
3. 550 m/s
4. 660 m/s
A car accelerates from rest at a constant rate α for some time, after which it decelerates at a constant rate β and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is
1.
2.
3.
4.
A stone dropped from a building of height h and reaches the earth after t seconds. From the same building, if two stones are thrown (one upwards and other downwards) with the same velocity u and they reach the earth surface after t1 and t2 seconds respectively, then:
1.
2.
3.
4.
A ball is projected upwards from a height h above the surface of the earth with velocity v. The time at which the ball strikes the ground is
(1)
(2)
(3)
(4)
A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1 m each will then be:
1. All equal, being equal to \(\sqrt{2 / g} \) second.
2. In the ratio of the square roots of the integers 1, 2, 3.....
3. In the ratio of the difference in the square roots of the integers \(\sqrt{1}\), \((\sqrt{2}-\sqrt{1})\),\((\sqrt{3}-\sqrt{2})\),\((\sqrt{4}-\sqrt{3})\) \( \ldots\)
4. In the ratio of the reciprocal of the square roots of the integers i.e... \(\frac{1}{\sqrt{1}}\), \(\frac{1}{\sqrt{2}}\), \(\frac{1}{\sqrt{3}}\),\(\frac{1}{\sqrt{4}} \)