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Chapter 5: Q.67 (page 499)

A painter drops a brush from a platform 75feet high. The polynomial function h(t)=鈭�16t2+75gives the height of the brush tseconds after it was dropped. Find the height aftert=2 seconds.

Short Answer

Expert verified

The height after t=2seconds is 11.

Step by step solution

01

Step 1. Given Information 

A painter drops a brush from a platform 75feet high. The given function is h(t)=鈭�16t2+75gives the height of the brush tseconds after it was dropped.

We find the height after t=2seconds.

02

Step 2. The given polynomial function is h(t) = −16t2+ 75

The function ish(t)=鈭�16t2+75

puttingt=2

h(2)=鈭�16(2)2+75h(2)=鈭�16脳4+75h(2)=-64+75h(2)=11

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