To determine how long it will take for the car to come to a stop, we can use the equations of motion. Let's define the variables:
- Initial velocity, \( u = 21.8 \, \text{m/s} \)
- Final velocity, \( v = 0 \, \text{m/s} \) (the car eventually stops)
- Displacement, \( s = 99 \, \text{m} \)
First, we can use the following kinematic equation that relates these variables:
\[
v^2 = u^2 + 2as
\]
Where:
- \( a \) is the acceleration (which will be