A particle projected with kinetic energy with an angle of projection . Then the variation of kinetic K with vertical displacement y is
1. linear
2. parabolic
3. hyperbolic
4. periodic
A body is projected with a velocity \(u\) with an angle of projection \(\theta.\) The change in velocity after the time \((t)\) from the time of projection will be:
1. | \(gt\) | 2. | \(\frac{1}{2}gt^2\) |
3. | \(u\sin\theta\) | 4. | \(u\cos\theta\) |
A particle has initial velocity and has acceleration . Its speed after 10 s:
1. 7 units
2. units
3. 8.5 units
4. 10 units
The gravity in space is given by . Two particles are simultaneously projected with velocity and . Then, the ratio of their times of flight
1. 1:1
2. 1:2
3. 2:1
4. none
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 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 east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is
1. East-north direction
2. West-north direction
3. South-east direction
4. None of these
A ball P is dropped vertically and another ball Q is thrown horizontally from the same height and at the same time. If air resistance is neglected, then
1. Ball P reaches the ground first
2. Ball Q reaches the ground first
3. Both reach the ground at the same time
4. The respective masses of the two balls will decide the time
A frictionless wire \(AB\) is fixed on a sphere of radius \(R\). A very small spherical ball slips on this wire. The time taken by this ball to slip from \(A\) to \(B\) is:
1. \(\frac{2 \sqrt{g R}}{g \cos \theta}\)
2. \(2 \sqrt{g R} . \frac{\cos \theta}{g}\)
3. \(2 \sqrt{\frac{R}{g}}\)
4. \(\frac{g R}{\sqrt{g\cos \theta}}\)