# Calculus

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The velocity of a car (in miles per hour) is given by
v(t) = 61.25t − 17.5 t^2
where t is in hours. Write a definite integral for the distance the car travels during the first 2.5 hours. Use your graphing calculator to find this distance.

Distance =

• Calculus -

d = 61.25 t^2/2 - 17.5 t^3/3 + 0

if t = 2.5
d = 191.4 - 91.1 = about 100 miles

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