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Chapter 5: Q. 5.20 (page 494)

The polynomial function ht=鈭�16t2+175gives the height of a ball t seconds after it is dropped from a 175-foot tall bridge. Find the height after t = 3 seconds.

Short Answer

Expert verified

The height is 31 feet.

Step by step solution

01

Step 1. Given information

The polynomial function for the height is

ht=鈭�16t2+175

Height of drop = 175 ft.

We have to find the height after t = 3 seconds.

02

Step 2. Substitute t=0 in h(t)

Wehaveht=鈭�16t2+175Att=3,wehave鈬�ht=鈭�1632+175=鈭�169+175=鈭�144+175=31

Thus, the height after t=3 seconds is 31 ft.

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