Question

A 1000 kg car accelerates from rest at a rate of 10 m/s² for 3 seconds. A) what is the final velocity of the car?

Answer 1

Answer:

Explanation:

We don't need the mass of the car in the equation to solve for final velocity, since the values given for the acceleration and the time it took to accelerate to that velocity are given. The equation we need is the one for acceleration, which is

$a=\frac{v_f-v_0}{t}$ We are solving for final velocity, we know the initial velocity is 0 (starting from rest), and the time to complete this acceleration (10 m/s/s) is 3 seconds:

$10=\frac{v_f-0}{3}$ which is the same thing as saying

$10=\frac{v}{3}$ so

v = 30 m/s