Question

A 1,286-kg car is skidding to a stop along a horizontal surface. The car decelerates from 26.9 m/s to rest in 9.36 seconds. How far did the car skid before coming to rest?

Answer 1

Step-by-step explanation:

Given:

M = 1 260 kg

V₀ = 26.9 m/s

V = 0 m/s

Δt = 9.36 s

___________

L - ?

1)

Vehicle acceleration:

a = (V - V₀) / Δt ) = (0 - 26.9) / 9.36 ≈ - 2.87 m/s²

2)

Braking distance of the car:

L = (V² - V₀²) / (2·a)

L = ( 0² - 26.9²) / (2·(-2.87)) ≈ 121 m