Summary for Time, Height and Range

Q.

The angle of projection at which the horizontal range and maximum height of projectile are equal is

1. ${45}^{\circ }$

2. $\theta =ta{n}^{-1}\left(0.25\right)$

3. $\theta =ta{n}^{-1}4or(\theta ={76}^{\circ })$

4. ${60}^{\circ }$

Q.

A stone projected with a velocity u at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity u at an angle $(\frac{\pi }{2}-\theta )$ with the horizontal, it reaches maximum height $H_2$.
The relation between the horizontal range R of the projectile, $H_1$ and $H_2$ is

1. $R=4\sqrt{H_1{H}_2}$

2. $R=4(H_1-H_2)$

3. $R=4(H_1+H_2)$

4. $R=\frac{H_1^2}{H_2^2}$

Q.

For a projectile, the ratio of maximum height reached to the square of flight time is $(g=10m{s}^{-2})$

1. 5 : 4

2. 5 : 2

3. 5 : 1

4. 10 : 1

Q.

A body of mass 0.5 kg is projected under gravity with a speed of 98 m/s at an angle of ${30}^{\circ }$ with the horizontal. The change in momentum (in magnitude) of the body is

1. 24.5 N-s

2. 49.0 N-s

3. 98.0 N-s

4. 50.0 N-s

Q.

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following

1. Straight path

2. Circular path

3. Parabolic path

4. Hyperbolic path

Q.

A ball is projected upwards from the top of tower with a velocity $50m{s}^{-1}$ making an angle ${30}^{\circ }$ with the horizontal. The height of tower is 70 m. After how many seconds from the instant of throwing will the ball reach the ground

1. 2 s

2. 5 s

3. 7 s

4. 9 s

Q. The horizontal range of a projectile is $4\sqrt{3}$ times its maximum height. Its angle of projection will be

1. ${45}^{\circ }$
2. ${60}^{\circ }$
3. ${90}^{\circ }$
4. ${30}^{\circ }$

Q.

At what point of a projectile motion acceleration and velocity are perpendicular to each other

1. At the topmost point

2. At the point of projection

3. At the point of drop

4. Any where in between the point of projection and topmost point

Q.

The greatest height to which a man can throw a stone is h. The greatest distance to which he can throw it, will be

1. $\frac{h}{2}$

2. $2h$

3. $3h$

4. $h$

Q. The horizontal range is four times the maximum height attained by a projectile. The angle of projection is

1. ${60}^{\circ }$
2. ${90}^{\circ }$
3. ${45}^{\circ }$
4. ${30}^{\circ }$