Final answer:
The final velocity of the car after accelerating for 8.0 seconds is 27.0 m/s west, which is calculated using the kinematic equation v = u + at where the initial velocity (u) is 11.0 m/s, acceleration (a) is 2.00 m/s², and time (t) is 8.0 s.
Step-by-step explanation:
To calculate the final velocity of a car after it has accelerated for a certain time, you can use the following formula from kinematics:
v = u + at
Where:
- v is the final velocity
- u is the initial velocity
- a is the acceleration
- t is the time
In this case, the car is moving at 11.0 m/s west and begins to accelerate at 2.00 m/s² west for 8.0 s. Inserting these values into the formula gives:
v = (11.0 m/s) + (2.00 m/s²)(8.0 s)
v = 11.0 m/s + 16.0 m/s
v = 27.0 m/s
Therefore, the car's final velocity after accelerating for 8.0 s is 27.0 m/s west.