# Math 1501

## Sept. 23, 1999

Tom Morley

Name: ____________________________

*Don't Panic*

*Open Book and Notes. You have 40 minutes. Carefully explain your proceedures and answers*

### Problem 1 (10 points)

You are videotaping the peachtree bicycle road race. You are 50 ft from

the (middle of the) road. You are following a bicycle going at 25 miles

per hour down Peachtree. (Note: 25 miles per hour is 36 .67 feet per second.)

How fast is the camera angle changing when the bicycle is right in from of you?

How fast 1 second later? Express answers in radians per second.

.

##### Calculations

You can convert everything to feet or everything to miles.

Careful.

When the bicycle is straight ahead, cos[&thgr;] = 1.

Radias per second.

### Problem 2 (10 Points)

A plane is flying with a constant speed of 300 km/hr at a height of 4 km. The plane flies over a ground radar installation. One half hour later, how fast is the distance

from the plane to the radar installation changing?

##### Answer