A projectile thrown with an initial speed $u$ and the angle of projection ${15}^o$ to the horizontal has a range $R$. If the same projectile is thrown at an angle of ${45}^o$ to the horizontal with speed $2u$, what will be its range?

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A projectile thrown with an initial speed u and angle of projection ${15}^{\circ }$ to the horizontal has a range R. If the same projectile is thrown at an angle of ${45}^{\circ }$ to the horizontal with speed 2u, its range will be

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. The range of a projectile, which is launched at an angle of ${15}^o$ with the horizontal, is $150m$. What is the range for an angle of projection of ${45}^o$ to the horizontal?

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 $R$ be the range of a projectile on a horizontal plane and $h$ its maximum height for a given angle of projection, find the maximum horizontal range with the same initial speed of projection is then