Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Rocket Launch Scenario**

NASA launches a rocket at \( t = 0 \) seconds. Its height, in meters above sea-level, as a function of time is given by:

\[ h(t) = -4.9t^2 + 163t + 227 \]

**Questions:**

1. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

   The rocket splashes down after \_\_\_\_ seconds.

2. How high above sea-level does the rocket get at its peak?

   The rocket peaks at \_\_\_\_ meters above sea-level.
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Transcribed Image Text:**Rocket Launch Scenario** NASA launches a rocket at \( t = 0 \) seconds. Its height, in meters above sea-level, as a function of time is given by: \[ h(t) = -4.9t^2 + 163t + 227 \] **Questions:** 1. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after \_\_\_\_ seconds. 2. How high above sea-level does the rocket get at its peak? The rocket peaks at \_\_\_\_ meters above sea-level.
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