Answer to Question #247948 in Classical Mechanics for adrian

Question

A sports car must achieve a velocity of 100m/s after passing the entry tollgate of an expressway. if it can do this travelling 1 km, what must its acceleration be?

Answer 1

$v_0=0$

$v_1 = 100\frac{m}{s}$

$s =1km =1000m$

$s= \frac{v_1^2-v_0^2}{2a}$

$a= \frac{v_1^2-v_0^2}{2s}=\frac{100^2-0^2}{2*1000}=5\frac{m}{s^2}$

$\text{Answer: }5\frac{m}{s^2}$