A body is thrown horizontally with a velocity √2gh√2gh from the top of a tower of height hh. It strikes the level ground through the foot of the tower at a distance xx from the tower. The value of xx is:
1. | hh | 2. | h2h2 |
3. | 2h2h | 4. | 2h32h3 |
Two men PP and QQ are standing at corners AA and BB of a square ABCDABCD of side 8 m.8 m. They start moving along the track with a constant speed 2 m/s2 m/s and 10 m/s10 m/s respectively. The time when they will meet for the first time is equal to:
1. 2 sec2 sec
2. 3 sec3 sec
3. 1 sec1 sec
4. 6 sec6 sec
A particle starts from the origin at t=0 and moves in the x-y plane with constant acceleration 'a' in the y direction. Its equation of motion is y=bx2y=bx2. The x component of its velocity (at t=0) is:
1. variable
2. √2ab√2ab
3. a2ba2b
4. √a2b√a2b
A body is projected with a velocity uu with an angle of projection θ.θ. The change in velocity after the time (t)(t) from the time of projection will be:
1. | gtgt | 2. | 12gt212gt2 |
3. | usinθusinθ | 4. | ucosθucosθ |
What determines the nature of the path followed by the particle?
1. Speed only
2. Velocity only
3. Acceleration only
4. None of these
A boat is sent across a river in perpendicular direction with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :
1. 10 km/hr
2. 8 km/hr
3. 6 km/hr
4. 4 km/hr
A boat is moving with velocity of 3ˆi+4ˆj3ˆi+4ˆj in river and water is moving with a velocity of −3ˆi−4ˆj−3ˆi−4ˆj with respect to ground. Relative velocity of boat with respect to water is:
1. −6ˆi−8ˆj−6ˆi−8ˆj
2. 6ˆi+8ˆj6ˆi+8ˆj
3. 8ˆj8ˆj
4. 6ˆi6ˆi
A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip(returning to the initial point) is:
1. 5 min
2. 60 min
3. 20 min
4. 30 min
A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south.
1. 30° with downstream
2. 60° with downstream
3. 120° with downstream
4. South
A train is moving towards the east and a car is along the north at the same speed. The observed direction of the car to the passenger on the train is:
1. East-north direction
2. West-north direction
3. South-east direction
4. None of these