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Chapter 5: Q. 5.19 (page 494)

The polynomial function ht=鈭�16t2+150gives the height of a stone t seconds after it is dropped from a 150-foot tall cliff. Find the height after t = 0 seconds (the initial height of the object).

Short Answer

Expert verified

The height is 150 feet

Step by step solution

01

Step 1. Given information

The polynomial function for the height is

ht=鈭�16t2+150

Height of drop = 150 ft.

We have to find the height after t = 0 seconds.

02

Step 2. Substitute t=0 in h(t)

Wehaveht=鈭�16t2+150Att=0,wehave鈬�ht=鈭�1602+150=鈭�160+150=150

Therefore, the initial height of the object is 150 ft.

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