1. Suppose an object is thrown down from a cliff with an initial speed of 7 feet per sec,
and its speed in ft/sec after t seconds is given by
s(t) = 32t + 7.
If the object lands after 5 seconds, how high (in ft) is the cliff?
2. A car is traveling due east. Its velocity (in miles per hour) at time t hours is given by
v(t) = −2.5t
2 + 10t + 50.
How far did the car travel during the first five hours of the trip?
3. What is the average of f(x) = x
2 over the interval [4,9] ?
4. Suppose the average value of f(x) on the interval [4,7] is 45. Calculate
Suppose a car travels in a straight line at an average velocity of 45 miles per hour. How
far does the car travel from 4:00 PM to 7:00 PM ?
5. Evaluate the integral
2 + 17
6. Evaluate the integral
2 + 12
7. Evaluate the integral
2 + 1)3
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