Homework SourseThe velocity of a car in miles per hour is given by vt 50t
The velocity of a car (in miles per hour) is given by
v(t) = 50t ? 25 t2
where t is in hours. Write a definite integral for the distance the car travels during the first 2 hours. Use your graphing calculator to find this distance.
Distance =
v(t) = 50t ? 25 t2
where t is in hours. Write a definite integral for the distance the car travels during the first 2 hours. Use your graphing calculator to find this distance.
Distance =
Solution
v(t) = 50t 25 t2
ds/dt=50t 25 t2
integrating:
s=25t2-25t3/3.
at t=2hour
s=100-200/3=100/3 miles
