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

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

Step-by-step explanation:

`\displaystyle \mathrm{acceleration \ = \ (final \ velocity - initial \ velocity )/(elapsed \ time)}`

`\displaystyle A \ = \ (V_f - V_i )/(t)`

`\displaystyle 3 \ = \ (25 - 8 )/(t)`

`\displaystyle 3 \ = \ (17 )/(t)`

`\displaystyle t \ = \ (17 )/(3) \approx 5.67`