Question

A car accelerates at a rate of 3 m/s^2. If its original speed is 8 m/s, how many seconds will it take the car to reach a final speed of 25 m/s?

Answer 1

Answer:

$\Large \boxed{\mathrm{5.67 \ seconds }}$

Explanation:

$\displaystyle \mathrm{acceleration \ = \ \frac{final \ velocity - initial \ velocity }{elapsed \ time}}$

$\displaystyle A \ = \ \frac{V_f - V_i }{t}$

$\displaystyle 3 \ = \ \frac{25 - 8 }{t}$

$\displaystyle 3 \ = \ \frac{17 }{t}$

$\displaystyle t \ = \ \frac{17 }{3} \approx 5.67$