A projectile thrown at an angle of ${30}^{\circ }$ with the horizontal has a range $R_1$. Another projectile thrown, with the same velocity, at an angle ${30}^{\circ }$ with the vertical, has a range $R_2$. The relation between $R_1$ and $R_2$ is

Q.

A projectile thrown at an angle of ${30}^{\circ }$ with the horizontal has a range $R_1$. Another projectile thrown, with the same velocity, at an angle ${30}^{\circ }$ with the vertical, has a range $R_2$. The relation between $R_1$ and $R_2$ is

Q. A projectile thrown at an angle of ${30}^o$ with the horizontal has a range $R_1$ and attains a maximum height $h_1$ . Another projectile thrown, with the same speed, at an angle ${30}^o$ with the vertical, has a range $R_2$ and attains a maximum height $h_2$ . The relation between $R_1$ and $R_2$ is :-

Q. If $R_1$ and $R_2$ are the maximum ranges of a projectile when it is projected from the bottom and top respectively of an inclined plane respectively, then find the maximum range of the projectile when it is projected from the ground with same velocity.

Q. Two balls are thrown from an inclined plane at angle of projection $\alpha$ with the plane one up the incline plane and other down the incline as shown in the figure. If $R_1$ & $R_2$ be their respective ranges and $h_1$ & $h_2$ be their respective maximum height then
[here $T_1$ & $T_2$ are times of flight in the two cases respectively]

Q. For the following reactions, the correct reaction rates $r_1,r_2,r_1^{\prime }$ & $r_2^{\prime }$ is: