Question

NASA launches a rocket at $t = 0$ seconds. Its height, in meters above sea-level, as a function of time is given by $h(t) = -4.9t^2 + 91t + 311$. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.

Name: nasa launches a rocket at t 0 seconds its height in meters above sea level as a function of time is given by ht 49t2 91t 311 assuming that the rocket will splash down into the ocean at what 49018
Uploaded: 2022-07-24T18:41:04-08:00
Duration: 2 min 21 s
Channel: Tim Thornhill
Description: nasa launches a rocket at t 0 seconds its height in meters above sea level as a function of time is given by ht 49t2 91t 311 assuming that the rocket will splash down into the ocean at what 49018

          NASA launches a rocket at $t = 0$ seconds. Its height, in meters above sea-level, as a function of time is given by $h(t) = -4.9t^2 + 91t + 311$.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after seconds.
How high above sea-level does the rocket get at its peak?
The rocket peaks at meters above sea-level.

nasa launches a rocket at t 0 seconds its height in meters above sea level as a function of time is given by ht 49t2 91t 311 assuming that the rocket will splash down into the ocean at what 49018

Added by John C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Tim Thornhill

07/24/2022

Step 1

We are given the height of a rocket as a function of time: $h(t) = -4.9t^2 + 91t + 311$. We need to find two things: 1. The time when the rocket splashes down into the ocean. This means $h(t) = 0$. 2. The maximum height the rocket reaches (its peak). This means Show more…

Show all steps

Thanks for your feedback!

NASA launches a rocket at $t = 0$ seconds. Its height, in meters above sea-level, as a function of time is given by $h(t) = -4.9t^2 + 91t + 311$. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.