# calculus 2

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If a car goes from 0 to 100 mph in six seconds with constant acceleration, what is that acceleration?

• calculus 2 -

let the acceleration be a
then
v = at + c
when t=0, v=0 , so c = 0

v = at
when t=6 , v = 100
100 = 6a
a = 100/6 = 50/3

the acceleration is (50/3 mph) / sec

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