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.

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

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

$\begin{gathered} v_f=v_0+at \\ 80.2=0+16t \\ t=\frac{80.2}{16} \\ t\approx5\sec \end{gathered}$

Therefore, it takes 5 seconds to travel 201 meters.