Quiz #9

Name:______________________________

Mathematics 1501
November 4, 1999
Tom Morley

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)

a) Evaluate

Clear[junk]

b) Evaluate

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

Feet

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