The driver of a car slams on the brakes, causing the car to

slow down at a rate of 17ft/s2 as the car skids 175ft to a

stop.

How long does the car take to stop?

What was the car's initial speed?

It takes 4.58 seconds for the car to stop and the initial speed of the car is 77.14 ft/s

Explanation:

Given:

Acceleration, a = - 17 ft/s²

Distance, s = 175 ft

Final velocity, v = 0

Time, t = ?

Initial speed, u = ?

We know:

v² - u² = 2as

(0) ² - (u) ² = 2 X - 17 X 175

u² = 5950

u = 77.14 ft/s

To calculate time:

v = u + at

0 = 77.14 - 17 X t

17t = 77.14

t = 4.58 sec

Therefore, It takes 4.58 seconds for the car to stop and the initial speed of the car is 77.14 ft/s