Question

Starting from rest a race car has displacement of 201 m south while accelerating at 60 m/s^2 calculate the time and takes the car to travel the 201 mHelp please

Answer 1

We know that

• The initial velocity is zero because it's starting from rest.

,

• The displacement is 201 meters.

,

• The acceleration is 16 m/s^2.

To find the time it takes the car to travel the 201 meters, we use the following formula.

`v^2_f=v^2_0+2ad`

FIrst, we have to find the final velocity.

`\begin{gathered} v^2_f=0+2(16)(201) \\ v_f=\sqrt[]{6432} \\ v_f\approx80.2((m)/(s)) \end{gathered}`

Once we have the final velocity, we can find the time.

`\begin{gathered} v_f=v_0+at \\ 80.2=0+16t \\ t=(80.2)/(16) \\ t\approx5\sec \end{gathered}`

Therefore, it takes 5 seconds to travel 201 meters.