## Find the acceleration of a car that can go from rest to 150 km/h in 13 s.?

Can someone please help me find the solution to this problem: “Find the acceleration of a car that can go from rest to 150 km/h in 13 s.” I have tried absolutely everything and my online course keeps telling me it’s incorrect. I am pretty set on the answer being 11.54 (rounded) because the formula should a = change in velocity/time interval if I’m not mistaken? Whoever knows the answer can you please explain it to me!? I really need help.

## Answer ( 1 )

The unit of acceleration is m/s^2. I suggest that we convert the car’s velocity from km/h to m/s.

1 km = 1000 m

1 h = 3600 s

1km/h = 1000/3600 = 5/18 m/s

v = 150 * 5/18 = 41⅔ m/s

The car’s velocity increased from 0 m/s to 41⅔ in 13 seconds. Use the following equation to determine the car’s acceleration.

vf = vi + a * t, vi = 0 m/s

41⅔ = a * 13

a = 41⅔ ÷ 13

This is approximately 3.2 m/s^2. I hope this helps you to understand how to solve this type of problem.