A projectile is fired with a velocity 𝑣 at an angle θ with the horizontal. The speed of the projectile when its direction of motion makes an angle β with the horizontal is

Question : A projectile is fired with a velocity 𝑣 at an angle θ with the horizontal. The speed of the projectile when its direction of motion makes an angle β with the horizontal is

(A) 𝑣 cos θ

(B) 𝑣 cos θ cos β

(C) 𝑣 cos θ sec β

(D) 𝑣 cos θ tan β

Answer: option (C)

Solution :

A projectile is fired with a velocity 𝑣 at an angle θ with the horizontal. The speed of the projectile when its direction of motion makes an angle β with the horizontal is
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