Answer to Question #350450 in Mechanics | Relativity for James

Question

2. A car travels form rest and has a constant acceleration of 3 ft/s^2. Find the average velocity during the first 10s of motion.

Answer 1

Given:

$a=3\:\rm ft/s^2$

$v_0=0\:\rm ft/s$

$t=10\:\rm s$

The distance traveled by a car during the first 10s of motion

$$d=v_0t+at^2/2=3*10^2/2=150\;\rm ft$$

The average velocity during this period of motion

$$v_{ave}=\frac{d}{t}=\frac{150}{10}=15\:\rm ft/s$$