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Chapter 5: Q. 516 (page 564)

A hiker drops a pebble from a bridge 240 feet above a canyon. The function ht=-16t2+240 gives the height of the pebble t seconds after it was dropped. Find the height when t=3.

Short Answer

Expert verified

The height of the pebble after 3 seconds is 96 feet above canyon.

Step by step solution

01

Step 1. Given Information

The given function of the pebble isht=-16t2+240.

02

Step 2. Evaluate the value of Function at t=3

  • Substitutet=3in ht=-16t2+240and solve.
  • h3=-1632+240=-144+240=96
  • So, the height of the pebble after 3 seconds is 96 feet above canyon.

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