A particle is projected at an angle of 60° above the horizontal with a speed of 10 ms−1 . After some time the direction of its velocity makes an angle of 30° above the horizontal. The speed of the particle at this instant is

Question : A particle is projected at an angle of 60° above the horizontal with a speed of 10 ms−1 . After some time the direction of its velocity makes an angle of 30° above the horizontal. The speed of the particle at this instant is

(A) \dfrac{5}{\sqrt{3}}ms^{-1}

(B) 5\sqrt{3}ms^{-1}

(C) 5ms^{-1}

(D) \dfrac{10}{\sqrt{3}}ms^{-1}

Answer : option (D)

Solution :

A particle is projected at an angle of 60° above the horizontal with a speed of 10 ms−1 . After some time the direction of its velocity makes an angle of 30° above the horizontal. The speed of the particle at this instant is
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