To determine the total distance traveled by the car, we can use the equations of motion. In this case, the car has an initial velocity (u) of 15 m/s, a constant acceleration (a) of 4 m/s², and a time (t) of 50 seconds.
We can use the equation:
s = ut + (1/2)at²
where:
- s is the total distance traveled,
- u is the initial velocity,
- t is the time, and
- a is the acceleration.
Plugging in the given values, we have:
s = (15 m/s)(50 s) + (1/2)(4 m/s²)(50 s)²
s = 750 m + (1/2)(4 m/s²)(2500 s²)
s = 750 m + 5000 m
s = 5750 m
Therefore, the total distance traveled by the car is 5750 meters.