Q49 / 72 · NTA Abhyas (JEE Main) 2020 · Physics · Motion In Two Dimensions

A particle A is projected from the ground with an initial velocity of 10 m s-1 at an angle 60° with horizontal. From what height (in m) directly above the point of projection of the particle A, should another particle B be projected horizontally with velocity 5 m s-1 so that both the particles collide right before they strike the ground? [g=10 m s-2]

Correct answer: 15

Solution

Both the particles will meet at C, if their time of flight is the same. The time of flight of A is

T=2usinθg=2×10×sin 6 0 ∘ 10=3s

For vertical downward motion of particle B from B to C

We have

h=12gT2=12 ×10 ×32=15 m

Hence, the correct answer is 15.

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