1. During an accident investigation, a detective measures the skid marks that a car left to determine how fast it was initially moving before stopping when it hit a
light pole. The detective measures the distance to be 40 meters. The detective
receives the car's braking acceleration to be 4.57m/s2 from the manufacturer's
manual. Help the detective by solving how fast the car was initially going before
he hit the light pole? Someone please help I’ll give you a brainlest

19.12 m/s.

Explanation:

The following data were obtained from the question:

Final velocity (v) = 0 m/s

Breaking Acceleration (a) = – 4.57 m/s²

Distance (s) = 40 m

Initial velocity (u) =.?

The initial velocity of the car can be obtained as illustrated below:

v² = u² + 2as

0² = u² + (2 × –4.57 × 40)

0 = u² + (– 365.6)

0 = u² – 365.6

Collect like terms

u² = 0 + 365.6

u² = 365.6

Take the square root of both side

u = √365.6

u = 19.12 m/s

Therefore, the car was initially moving at 19.12 m/s.