Question What is the value of angle of projection for which the height of the projectile (H) and the range (R)of the projectile are the same? Solution: Height and range Maximum height of the projectile (H) Height of the projectile (H) $${H=\frac{u^2 \sin^2\theta}{2g}}$$ Range of the projectile $${R=\frac{u^2\sin 2 \theta}{g}}$$ $${H=R}$$ $${\frac{u^2\sin^2\theta}{2g}=\frac{u^2\sin 2\theta}{g}}$$ $${\frac{\sin^2\theta}{2}=2\sin\theta\cos\theta}$$ $${\frac{\sin\theta}{\cos\theta}=4}$$…