A passenger in a open car travelling at 30 m / s throws a ball out over the bonnet. Relative to the car the initial velocity of the ball is 20 m / s at 6 0 ∘ to the horizontal. The angle of projection

Question

A passenger in a open car travelling at 30 m / s throws a ball out over the bonnet. Relative to the car the initial velocity of the ball is 20 m / s at 6 0 ∘ to the horizontal. The angle of projection of the ball with respect to the horizontal road will be

TestHub · Accepted Answer

( v bc ​ ) x ​ = ( v b ​ ) x ​ − ( v c ​ ) x ​ 20 cos 6 0 ∘ = ( v b ​ ) x ​ − 30 ( v b ​ ) x ​ = 40 ; ( v bc ​ ) y ​ = ( v b ​ ) y ​ − ( v c ​ ) y ​ 20 sin 6 0 ∘ = ( v b ​ ) y ​ − 0 ( v b ​ ) y ​ = 10 3 ​ ; tan θ = ( v b ​ ) x ​ ( v b ​ ) y ​ ​ = 40 10 3 ​ ​ = 4 3 ​ ​ ​

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