# Answer to Question #34613 in Mechanics | Relativity for Shane

Question #34613

A race car can be slowed with a constant acceleration of -10 m/s2.

(a) If the car is going 43 m/s, how many meters will it travel before it stops?

(a) If the car is going 43 m/s, how many meters will it travel before it stops?

Expert's answer

a=-10 m/s2

v0= 43 m/s

s0=0

s=s0 + v0*t+ a*(t*t)/2

a= (v(finish)-v0)/t-> t = -v0/a -> s=v0*t + a*(t*t)/2

= v0*(-v0/a) + a (v0/a)*(v0/a)/2

s= 92.45 m

v0= 43 m/s

s0=0

s=s0 + v0*t+ a*(t*t)/2

a= (v(finish)-v0)/t-> t = -v0/a -> s=v0*t + a*(t*t)/2

= v0*(-v0/a) + a (v0/a)*(v0/a)/2

s= 92.45 m

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