# 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