Final answer:
The final velocity of the car after accelerating uniformly at a rate of 1.2 m/s² for 6.8 seconds, starting from an initial velocity of 2.1 m/s, is 10.26 m/s.
Step-by-step explanation:
To calculate the final velocity of a car that starts with an initial velocity and accelerates uniformly, we can use the formula:
vf = vi + at
Where:
- vf is the final velocity,
- vi is the initial velocity,
- a is the acceleration, and
- t is the time.
In this scenario, the car has an initial velocity of 2.1 m/s and accelerates at a rate of 1.2 m/s2 for 6.8 seconds.
Using the given values:
vf = 2.1 m/s + (1.2 m/s2 × 6.8 s)
vf = 2.1 m/s + 8.16 m/s
vf = 10.26 m/s
The final velocity of the car after 6.8 seconds of acceleration is 10.26 m/s.