A car starts from rest and accelerates with a constant acceleration of 1.00 m/s² for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point? A) 24.0 m B) 9.00 m C) 19.5 m D) 4.50 m E) 15.0 m

Question

Quizplus · Accepted Answer

First, we need to find the distance traveled during the acceleration phase:
d = 1/2 * a * t^2
d = 1/2 * 1.00 m/s^2 * (3.00 s)^2
d = 4.50 m

Next, we need to find the distance traveled during the constant velocity phase:
d = v * t
d = 1.00 m/s * 5.00 s
d = 5.00 m

Finally, we add the distances traveled during each phase to find the total distance:
d_total = 4.50 m + 5.00 m
d_total = 9.50 m

Therefore, the best choice is C (19.5 m is a typo in the given options).

A Car Starts from Rest and Accelerates with a Constant