What is the stopping distance if the car is initially traveling at speed 8.0v? assume that the acceleration due to the braking is the same in both cases?

Question

Gwendolyn Mueller

Physics

13 October, 04:22

What is the stopping distance if the car is initially traveling at speed 8.0v? assume that the acceleration due to the braking is the same in both cases?

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Adelyn Haas · Answer 1

The distance for any rectilinear motion at constant acceleration is:

d = v₀t + 0.5at²

where

v₀ is the initial velocity

So, if v₀ = 8v, and it stopped to 0 m/s, then the acceleration is equal to:

a = (0 - 8v) / t = - 8v/t

Thus,

d = (8v) (t) + (0.5) (-8v/t) (t²)

d = 8vt - 4t

d = 4t (2v - 1)