Maximum Range

Q. Galileo writes that for angles of projection of a projectile at angles $(45+\theta )and(45-\theta )$, the horizontal ranges described by the projectile are in the ratio of $(if\theta \le 45)$

1. 2 : 1
2. 1 : 2
3. 1 : 1
4. 2 : 3

Q. A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is

1. ${25}^{\circ }{8}^{\prime }$
2. ${33}^{\circ }{7}^{\prime }$
3. ${42}^{\circ }{8}^{\prime }$
4. ${53}^{\circ }{8}^{\prime }$

Q.

A cricketer can throw a ball to a maximum horizontal distance of 100 m. The speed with which he throws the ball is (to the nearest integer)

1. $30m{s}^{-1}$

2. $42m{s}^{-1}$

3. $32m{s}^{-1}$

4. $35m{s}^{-1}$

Q. A large number of bullets are fired in all directions with same speed v. What is the maximum area on the ground on which these bullets will spread

1. $\pi \frac{v^2}{g}$
2. $\pi \frac{v^4}{g^2}$
3. ${\pi }^2\frac{v^4}{g^2}$
4. ${\pi }^2\frac{v^2}{g^2}$

Q. The maximum range of rifle bullet on the horizontal ground is 6 km its maximum range on an inclined of ${30}^{\circ }$ will be

1. 1 km
2. 2 km
3. 4 km
4. 6 km

Q.

The maximum range of a gun on horizontal terrain is 16 km. If $g=10m/s^2$. What must be the muzzle velocity of the shell

1. 200 m/s

2. 400 m/s

3. 100 m/s

4. 50 m/s

Q.

The maximum range of a gun on horizontal terrain is 16 km. If $g=10m/s^2$. What must be the muzzle velocity of the shell

1. 200 m/s

2. 400 m/s

3. 100 m/s

4. 50 m/s

Q. Galileo writes that for angles of projection of a projectile at angles $(45+\theta )and(45-\theta )$, the horizontal ranges described by the projectile are in the ratio of $(if\theta \le 45)$

1. 2 : 1
2. 1 : 2
3. 1 : 1
4. 2 : 3