BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A football receiver running straight downfield at 5.50 m/s is 10.0 m in front of the quarterback when a pass is thrown downfield at 25.0° above the horizon (Fig. P3.58). If the receiver never changes speed and the ball is caught at the same height from which it was thrown, find (a) the football’s initial speed, (b) the amount of time the football spends in the air, and (c) the distance between the quarterback and the receiver when the catch is made.

images

Figure P3.58

(a)

To determine
The initial speed of the football.

Explanation

The horizontal displacement of the ball is,

xball=v02sin2θg

Here,

v0 is the initial velocity

θ is the launch angle

g is the acceleration due to gravity

When the receiver catches the ball, the position of the receiver is,

xR=xR0+vRt

Here,

xR0 the initial position of the receiver

vR is the velocity of the receiver

t is the time taken

As the displacement is equal to the position of the receiver,

xball=xRv02sin2θg=xR0+vRt

Substitute t=2v0sinθg for t .

v02sin2θg=xR0+vR(2v0sinθg)(sin2θ

(b)

To determine
The amount of time the football spends in air.

(c)

To determine
The distance between the quarterback and the receiver when the catch is made.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Children and pregnant or lactating women should definitely not consume fish because of contamination. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Is the light chain of an immunoglobulin the same as the V region?

Introduction to General, Organic and Biochemistry