Final answer:
The car has an average acceleration of 16.67 m/s² when it accelerates from 0.0 m/s to 100 m/s in 6 seconds.
Step-by-step explanation:
Calculating Acceleration
To find the acceleration of a car that goes from 0.0 m/s to 100 m/s in 6 seconds, we use the formula for average acceleration, which is the change in velocity divided by the time taken to make that change. The acceleration can be calculated using the formula:
a = (v_f - v_i) / t
Where:
- v_f is the final velocity,
- v_i is the initial velocity, and
- is the time interval.
In this case:
- Final velocity, = 100 m/s,
- Initial velocity, = 0.0 m/s (since the car starts from rest),
- Time interval, = 6 s.
Plugging in the values:
a = (100 m/s - 0 m/s) / 6 s
a = 100 m/s / 6 s
a = 16.67 m/s²
The car has an average acceleration of 16.67 m/s².