To find the distance traveled by the car, we can use the equation of motion:
d = v₀t + (1/2)at²
where: d is the distance traveled, v₀ is the initial velocity, t is the time, a is the acceleration.
Given: Initial velocity (v₀) = 8 m/s, Acceleration (a) = 2 m/s², Time (t) = 10 s.
Plugging these values into the equation, we get:
d = (8 m/s)(10 s) + (1/2)(2 m/s²)(10 s)²
d = 80 m + (1/2)(2 m/s²)(100 s²)
d = 80 m + (1/2)(200 m)
d = 80 m + 100 m
d = 180 m
Therefore, the distance traveled by the car is 180 meters.