Final answer:
The average acceleration of the race car is calculated using the change in velocity over the time interval, which results in +6.5 m/s².
Step-by-step explanation:
To calculate the average acceleration of a race car whose velocity increases from +6.0 m/s to +32 m/s over a 4.0 s time interval, we use the formula for average acceleration which is the change in velocity divided by the time it takes for the change to occur. In this case:
- Initial velocity (v0) = +6.0 m/s
- Final velocity (vf) = +32 m/s
- Time interval (Δt) = 4.0 s
Firstly, we calculate the change in velocity (Δv):
Δv = vf - v0 = +32 m/s - (+6.0 m/s) = +26 m/s
Then we compute the average acceleration (a):
a = Δv / Δt = +26 m/s / 4.0 s = +6.5 m/s²
Therefore, the average acceleration of the race car during the 4.0 s time interval is +6.5 m/s².