A body starts to fall freely under gravity. The distances covered by it in the first, second and third second will be in the ratio:
1. \(1:3:5\)
2. \(1:2:3\)
3. \(1:4:9\)
4. \(1:5:6\)
A body is thrown vertically up from the ground. It reaches a maximum height of \(100\) m in \(5\) s. After what time will it reach the ground from the position of maximum height?
1. \(1.2\) s
2. \(5\) s
3. \(10\) s
4. \(25\) s
If a body is thrown up with the velocity of 15 m/s, then the maximum height attained by the body is: (assume g = 10 m/s2)
1. 11.25 m
2. 16.2 m
3. 24.5 m
4. 7.62 m
If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three seconds, the time of the travel is:
1. 6 sec
2. 5 sec
3. 4 sec
4. 3 sec
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. \(4.8~\text{m/s}\)
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 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 particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of \(1~\text{m}\) each will then be:
1. | \(\sqrt{2 / g} \) second. | All equal, being equal to
2. | In the ratio of the square roots of the integers 1, 2, 3..... |
3. | \(\sqrt{1}\), \((\sqrt{2}-\sqrt{1})\),\((\sqrt{3}-\sqrt{2})\),\((\sqrt{4}-\sqrt{3})\) \( \ldots\) | In the ratio of the difference in the square roots of the integers
4. | \(\frac{1}{\sqrt{1}}\), \(\frac{1}{\sqrt{2}}\), \(\frac{1}{\sqrt{3}}\),\(\frac{1}{\sqrt{4}} \) | In the ratio of the reciprocal of the square roots of the integers i.e...
The graph between the displacement x and time t for a particle moving in a straight line is shown in the figure.
During the interval OA , AB , BC and CD, the acceleration of the particle is:
OA | AB | BC | CD | |
1. | + | 0 | + | + |
2. | – | 0 | + | 0 |
3. | + | 0 | – | + |
4. | – | 0 | – | 0 |
A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?
1. | 3.6 m |
2. | 28.8 m |
3. | 36.0 m |
4. | Cannot be calculated from the above graph |