At the same instant, two boys throw balls A and B from the positions shown with a speed v 0 and kv 0 respectively, where k is a constant. For what value of k , balls will collide? Relevant data is available in the figure.

Question

At the same instant, two boys throw balls A and B from the positions shown with a speed v 0 and kv 0 respectively, where k is a constant. For what value of k , balls will collide? Relevant data is available in the figure., cosθ 2 cosθ 1, sin θ 2 cos θ 1, tan θ 2 tan θ 1, cot θ 2 cot θ 1

MARKS App · Accepted Answer

Both ball to collide in air relative velocity should be along line joining them i.e., vertical therefore , horizontal component of relative velocity = 0 ⇒ u 2 x = u 1x ⇒ v 0 sin θ 2 = k v 0 cos θ 1 ⇒ k = sin θ 2 cos θ 1

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