# Highly Composite Number

Topics: Highly composite number, Maxima and minima, Hang Pages: 3 (529 words) Published: August 28, 2011
MAT 117

Appendix F

Chapter 11

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Show your work for full credit.

1. (4 POINTS) Hang Time. One of the most exciting plays in basketball is the dunk shot. The amount of time T that passes from the moment a player leaves the ground, goes up, makes the shot, and arrives back on the ground is called the hang time. A function relating an athlete’s vertical leap V, in inches, to hang time T, in seconds, is given by [pic] a. Carl Landry, of Purdue University, has a hang time of about 0.835 sec. What is his vertical leap? V (0.835) = 48(0.835^2) = 33.47 seconds

b. The record for the greatest vertical leap in the NBA is held by Darryl Griffith of the Utah Jazz. It was 48 in. What was his hang time? T^2 = V/48 T^2 = 48/48 = 1 T = 1 second

2. (4 POINTS) Falling Distance. An object that is tossed downward with an initial speed (velocity) of [pic]will travel a distance of s meters, where [pic] and t is measured in seconds. Solve for t.

s = 4.9t^2 + v0 t 4.9t^2 + v0 t - s = 0 x = [-b ± √ (b^2 - 4ac)] / 2a= t = [-v0 ± √ {(v0) ^2 - 4 * 4.9 * -s}] / (2 * 4.9) t = [-v0 ± √ {(v0) ^2 + 19.6s}] / 9.8

3. (4 points) Page Numbers. A student...