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Chapter 8: Q. 507 (page 1021)

The distance an object falls varies directly to the square of the time it falls. If an object falls 52.8feet in 4 seconds, how far will it fall in 9 seconds?

Short Answer

Expert verified

The distance covered in 9seconds=267.3.

Step by step solution

01

Step 1. Given Information. 

The distance an object falls varies directly to the square of the time it falls.

The distance covered in4seconds=52.8ft

02

Step 2. Assumption of variables. 

Let the distance covered be d.

Let the time be t.

Write the formula for direct variation,

y=kx0d=kt2

03

Step 3. Equation of the given direct relation. 

Now,

Substitute the given values of the variables.

We get,

d=kt252.8=k脳4252.816=k脳16163.3=k

04

Step 4. Solution of the equation. 

Now, we will find the distance when the time is increased.

On substituting the values,

d=kt2d=3.3脳92d=3.3脳81d=267.3

Therefore, the distance is 267.3ft.

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