Question

a sprinter starts from rest and accelerates at 1.5 m/s2 fro 20 meters. What is his final velocity?show work please

Answer 1

We can determine the final velocity via the following kinematic equation:

`v_(final)^2=v_(initial)^2+2a \Delta x`

Since the sprinter starts at rest this means the initial velocity is zero, a = 1.5 m/s^2 and the difference of x is 20 meters therefore:

`v_(final)^2=0^2+2(1.5m/s^2)(20)\\\\v_(final)^2=60\\\\v_(final)=√(60)\\v_(final) \approx 7.75 m/s`

The final velocity is 7.75 m/s