Best Answer:
This problem does not say the car’s final velocity. To solve this problem, I will have to assume that the car’s final velocity is not 0 m/s. Since we know the initial velocity, distance, and the acceleration, we can use the following equation to determine the car’s final velocity.

vf^2 = vi^2 + 2 * a * d

vf^2 = 25.5^2 + 2 * -2.40 * 88.4

vf = √210.72

The final velocity is approximately 14.5 m/s. Let’s use the following equation to determine the time for car’s velocity to decrease from 25.5 m/s to approximately 14.5 m/s with an acceleration of -2.40 m/s.

vf = vi + a * t

√210.72 = 25.5 + -2.40 * t

t = (25.5 – √210.72) ÷ 2.40

The time is approximately 4.6 seconds. Let’s assume the final velocity is 0 m/s. Let’s use the equation above to determine the time.

0 = 25.5 + -2.40 * t

t = 25.5 ÷ 2.40 = 10.625 seconds

Let’s use the equation above to determine the total distance.

d = ½ * (vi + vf) * t, vf = 0

d = ½ * 25.5 * 10.625 = 134.46875 meters

Since this is more than 88.4 meters, my assumption that the final velocity was not 0 m/s was correct. I hope this is helpful for you.

Source(s):

Asker's rating