Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.8, Problem 37AYU
To determine

To find: What yard line will the defensive back catch up to the tight end?

Expert Solution & Answer
Check Mark

Answer to Problem 37AYU

The defensive back catches up to the tight end the 45 yard line in 3 sec.

Explanation of Solution

Given:

A tight end can run the 100-yard dash in 12 seconds. A defensive back can do it in 10 seconds. The tight end catches a pass at his own 20-yard line with the defensive back at the 15-yard line. If no other players are nearby.

Calculation:

For the tight end: d t  =  r t  .  t t .

For the defensive back: d d  =  r d  .  t d .

Given: r t  =  100 12  yards/sec , r d  =  100 10  yards/sec .

The times are same since they will run for the same amount of time call both times.

d t  =  d d   5 yards

d t  =  r t  .  t t

d d   5 =  100 12  . t

d d  =  100 10  . t

Therefore t = 3 sec.

d t  =  100 12   3 = 25 yards.

d d  =  100 10   3 = 30 yards.

The tight end runs from his 20 yards line for 25 yards and gets to the 45 yards line in 3 sec.

The defensive back runs his 15 yard line for 30 yards and gets to the 45 yard line in 3 sec.

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