A body is projected with the velocity from the point A as shown figure. At the same time another boty is projected vertically upwards with the velocity from the point B. What should be the value of for both the bodies to collide?

Question

A body is projected with the velocity   from the point A as shown figure. At the same time another boty is projected vertically upwards with the velocity   from the point B. What should be the value of   for both the bodies to collide?

Shiksha Nation · Accepted Answer

The two bodies will collide, if they reach at a point acquiring the same vertical distance in the same time.

Therefore

y = u₁sin60°×t − ½gt² = u₂t − ½gt²

Or u₁sin60°×t = u₂t or u₁/u₂ = 1/sin60° = 2/√3

A body is projected with the velocity from the point A as shown figure. At the same time another boty is projected vertically upwards with the velocity from the point B. What should be the value of for both the bodies to collide?

Verified Answer