Final answer:
The final velocity of the car after 8 seconds of accelerating at 5.0 m/s² from an initial velocity of 75 m/s is 115 m/s.
Step-by-step explanation:
A car going 75 m/s undergoes an acceleration of 5.0 m/s2 for 8 seconds. To find the final velocity of the car, we use the formula for acceleration:
final velocity (v) = initial velocity (u) + (acceleration (a) × time (t))
Substituting the given values:
v = 75 m/s + (5.0 m/s2 × 8 s)
v = 75 m/s + 40 m/s
v = 115 m/s
So, the final velocity of the car after 8 seconds is 115 m/s.