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# 2 bodies are projected vertically upwards from one point with the same initial velocity vo. The second body is projected to seconds after the first.How long after will the bodies meet?

147 Points
11 years ago

Dear Chilukuri

let at hight h and after t second from the projection of second body both bodies meet

since first body projected t0 second earlier so

h=v(t+t0) -1/2 *g *(t+t0)2

for second body

h=vt-1/2 *g *t2

equate both

v(t+t0) -1/2 *g *(t+t0)2  =   vt-1/2 *g *t2

simplify

2vt0/g =(2t+t0)t0

t={2v/g  -t0}/2

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