To find the distance traveled during the deceleration of the race car, you can use the formula for displacement under constant acceleration:
\[ \text{Displacement} = \text{Initial Velocity} \times \text{Time} + \frac{1}{2} \times \text{Acceleration} \times \text{Time}^2 \]
In this case, the race car is decelerating, so the acceleration is negative. The initial velocity (\(v_0\)) is 44 m/s, the final velocity (\(v\)) is 22 m/s, and the time (\(t\)) is 11 seconds.
First, calculate the acceleration (\(a\)):
\[ a = \frac{v - v_0}{t} \]
Substitute the values and then use the displacement formula to find the distance traveled. Note that the negative sign in the acceleration indicates deceleration.
After calculating, you'll find the distance traveled by the race car during the deceleration.
