   Chapter 12.3, Problem 38E

Chapter
Section
Textbook Problem

# Find the angles at which an object must be thrown to obtain (a) the maximum range and (b) the maximum height.

(a)

To determine

To calculate: The angle to obtain the maximum range when an object is thrown for g=32 ft/sec2.

Explanation

Given:

The acceleration due to gravity:

g=32 ft/sec2

Formula used:

The path of the projectile is

r(t)=(v0cosθ)t i+[(v0sinθ)t+12gt2]j

And 2cosθsinθ=sin2θ

Calculation:

The range of a projectile is as follows:

r(t)=xi+yj…...…... (1)

Here,

x=(v0cosθ)t …...…... (2)

y=(v0sinθ)t16t2 …...…... (3)

The maximum range is obtained at the point where y=0

(b)

To determine

To calculate: The angle to obtain the maximum height when an object is thrown for g=32 ft/sec2.

### 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

#### Find more solutions based on key concepts 