Answer to Question #86155 in Mechanics | Relativity for babs

Question

A body starts from rest and accelerates uniformly at a rate of 5m/s2. calculate its velocity after 90m

Answer 1

$v=v_0+at=at,\,\, s=\int v \, dt=\dfrac{at^2}{2}, \,\, t=\sqrt{\dfrac{2s}{a}}$

$v=\sqrt{2sa}=\sqrt{2\cdot 90 \cdot 5}=30 \, m/s$