Math

CalculusPrecalculus: Mathematics for Calculus - 6th EditionThe equation that depicts that the maximum range of the projectile R varies directly to square of its velocity v and use it to find out the maximum range if the ball is thrown at 70 miles per hour and if it is given thatthemaximum range of 242 feet is attained when ball is thrown with a velocity of 60 miles per hour.Start your trial now! First week only $4.99!*arrow_forward*

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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1, Problem 138RE

To determine

**To calculate:**The equation that depicts that the maximum range of the projectile

Expert Solution

The maximum range if the ball is thrown at

**Given information:**

Here, the maximum range of the projectile

Also, the maximum range of

New velocity is

**Formula used:**

For 2 variables say,

Which can be written as:

Where

Similarly the statement

Which can be written as:

Where

**Calculation:**

As the maximum range of the projectile

For 2 variables say,

Which can be written as:

Where

Hence, this variation can be expressed as follows:

Where

It is also given

Put these values in

Therefore, the proportionality constant

Therefore,

Now for new velocity of

Replace the value of

Thus, the maximum range if the ball is thrown at