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Chapter 8: Q. 8.131 (page 821)

A helicopter dropped a rescue package from a height of 1,296 feet. Use the formulat=h4 to find how many seconds it took for the package to reach the ground.

Short Answer

Expert verified

It will take9 seconds for the package to reach the ground.

Step by step solution

01

Step 1. Identify and name what we are looking for

It is given that the package is dropped from a height of 1296feet.

The objective is to find the time it will take to reach the ground.

So lettrepresents the required time.

02

Step 2. Form the equations

The height is 1296feet. So the equation is

h=1296...(1)

And the formula is given by the equationrole="math" localid="1644903214068" t=h4...(2)

03

Step 3. Solve using substitution

Using the first equation substitute 1296for hin the second equation and solve for t.

t=h4t=12964t=364t=9

04

Step 4. Check the solution

Substitute 9for tand 1296for hin the second equation.

t=h49=129649=3649=9

As the statement is true, so the found solution is correct.

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