Car leaves skid mark 92m long. Assuming a deceleration of 7m/s^2 estimate the speed of the car before breakin

Please explain if possible how to get the answer because I'm not sure how to do this problem.

the skid mark tells you how far the car traveled once braking was initiated

use vf^2=v0^2 + 2ad

vf=final velocity =0
v0=initial velocity which is what we will find
a=accel = -7m/s/s note that it is negative since it is slowing down
d=distance traveled = 92m

0=v0^2-2*7*92

v0=35.9m/s

v^2 = v0^2 + 2*a*x. where v0 is initial velocity v is final velocity x is distance, a is acceleration.

v = 0 .... car STOPPED.
v0 = what you want to find.
a = -7: DECELERATION.
x = 92 m.

Solving you get v0^2 = 2*7*92.... v0= sqrt(1288). Whatever that is...

assuming skid mark 92m long= breaking distance s

v=0; a= - 7
v^2 = u^2 + 2as
0 = u^2 - 2 * 7 * 92

u = 35.89m/s
answer