Final answer:
The final velocity of the car after accelerating at 5 m/s² for 8 seconds, from an initial velocity of 15 m/s, is 55 m/s.
Step-by-step explanation:
A car driving at an initial velocity of 15 m/s accelerates at a rate of 5 m/s² for a duration of 8 seconds. To calculate the final velocity of the car after this period, we can use the formula for acceleration, which is:
v = u + at
Where:
- v is the final velocity
- u is the initial velocity
- a is the acceleration
- t is the time
So, substituting the given values:
v = 15 m/s + (5 m/s² × 8s)
v = 15 m/s + 40 m/s
v = 55 m/s
Therefore, the final velocity of the car after accelerating for 8 seconds is 55 m/s.