SAMPLE PROBLEM 2 9 A body is dropped from rest and falls

Last updated: 6/19/2023

SAMPLE PROBLEM 2 9 A body is dropped from rest and falls freely Determine the position and velocity of the body after 1 0 2 0 3 0 and 4 0 s have elapsed Solution We choose the starting point as the origin so that Yo 0 We know the initial speed zero and the acceleration and we are given the time To find the position we use Eq 2 30 with Yo 0 and Voy 0 y gt y yo Voyt 1 2 a t y 0 Voy 0 Substitute for g 9 8 m s and for t 1 0 s calculate y Substitute for g 9 8 m s and for t 2 0 s calculate y Substitute for g 9 8 m s and for t 3 0 s calculate y Substitute for g 9 8 m s and for t 4 0 s calculate y To find the velocity we use Eq 2 29 again with voy v gt m s s Substitute for g 9 8 m s and for t 1 0 s calculate v Substitute for g 9 8 m s and for t 2 0 s calculate v Substitute for g 9 8 m s and for t 3 0 s calculate vy Substitute for g 9 8 m s and for t 4 0 s calculate v Result For t 1 0 s y For t 2 0 s y For t 2 0 s y m and Vy m and Vy m and Vy m s m s m s 0 m s