November 4, 1999
This quiz is 40 minutes. It is open book and notes,
and caculators are allowed. Show all work and explain your proceedures.
Problem 1 (12 Points)
The integrand is odd so the integral is zero
The problem can be worked by setting u = sin(2 x), so that du = 2 cos(2x).
Problem 2 (15 Points). Suppose that a car can break at a uniform decelleration of 25 feet per second per second.
If the car started at 50 miles per hour, how many
seconds does it take to come to a complete halt.
Note: There are 5280 feet in a mile.
Lets convert everything to feet and seconds.
50 miles is
So 50 miles per hour is
feet per hour or
feet per second
the acceleration is -25 feet per second per second:
So the position is
And the velocity is