Question Number 149733 by peter frank last updated on 06/Aug/21

Answered by Olaf_Thorendsen last updated on 07/Aug/21

τ is the time since the beginning • Particule 1 : x_1 = −(1/2)gτ^2 +uτ • Particule 2 : x_2 = −(1/2)g(τ−t)^2 +u(τ−t) The two particules meet when x_1 = x_2 −(1/2)gτ^2 +uτ = −(1/2)g(τ−t)^2 +u(τ−t) −(1/2)gt^2 +gτt−ut = 0 −(1/2)gt+gτ−u = 0 τ = ((u+(1/2)gt)/g) = ((2u+gt)/(2g)) h = x_1 = −(1/2)g(((2u+gt)/(2g)))^2 +u((2u+gt)/(2g)) h = −((4u^2 +g^2 t^2 +4ugt)/(8g))+((8u^2 +4ugt)/(8g)) h = ((4u^2 −g^2 t^2 )/(8g))

Commented bypeter frank last updated on 23/Aug/21

thank you