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

Using the formula for distance traveled with constant acceleration: 
d1 = (1/2)at1^2 = (1/2)(1.00 m/s^2)(3.00 s)^2 = 4.50 m

Using the formula for distance traveled with constant velocity: 
d2 = v2t2 = (1.00 m/s)(5.00 s) = 5.00 m

Total distance traveled is the sum of d1 and d2: 
d = d1 + d2 = 4.50 m + 5.00 m = 9.50 m ≈ 19.5 m

A Car Starts from Rest and Accelerates with a Constant