Chapter 6: Q. 783 (page 806)

A helicopter flying at an altitude of $1000$ feet drops a rescue package. The polynomial $- 16 t^{2} + 1000$ gives the height of the package $t$ seconds a after it was dropped. Find the height when $t = 6$ seconds.

Short Answer

Expert verified

The height when $t = 6$ seconds is, $424$ feet.

Step by step solution

Step 1. Given information

The height of the package is, $h (t) = - 16 t^{2} + 1000$ .

We need to find the height when $t = 6$ seconds.

Step 2. Substitute t=6 in the given equation.

$h (t) = - 16 t^{2} + 1000 h (6) = - 16 {(6)}^{2} + 1000 = - 16 (36) + 1000 = - 576 + 1000 = 424$

The height when $t = 6$ seconds is, $424$ feet.

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A helicopter flying at an altitude of $1000$ feet drops a rescue package. The polynomial $- 16 t^{2} + 1000$ gives the height of the package $t$ seconds a after it was dropped. Find the height when $t = 6$ seconds.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute t=6 in the given equation.

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A helicopter flying at an altitude of 1000feet drops a rescue package. The polynomial -16t2+1000gives the height of the package tseconds a after it was dropped. Find the height when t=6seconds.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute t=6 in the given equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Calculus

Geometry

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

A helicopter flying at an altitude of $1000$ feet drops a rescue package. The polynomial $- 16 t^{2} + 1000$ gives the height of the package $t$ seconds a after it was dropped. Find the height when $t = 6$ seconds.