Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
NASA launches a rocket at t =0 seconds. Its height, in meters above sea-level, as a function of time is given by = - 4.9t + 325t + 346. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? (Round to the nearest tenth.) The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? (Round to the nearest tenth.) 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 = - 4.9t + 325t + 346. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? (Round to the nearest tenth.) The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? (Round to the nearest tenth.) The rocket peaks at meters above sea-level.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
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 + 325t + 346. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? (Round to the nearest tenth.) The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? (Round to the nearest tenth.) The rocket peaks at meters above sea-level.
Transcribed Image Text: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 + 325t + 346. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? (Round to the nearest tenth.) The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? (Round to the nearest tenth.) The rocket peaks at meters above sea-level.
Expert Solution
Step 1

Given that, the function is ht=-4.9t2+325t+346.

it is known that, the height of the rocket will be zero when the rocket splash down into ocean.

Substitute h(t)=0 in  ht=-4.9t2+325t+346.

0=-4.9t2+325t+346t=-1.04805 or t=67.37458t≈-1.03 or t≈67.37

Note that, the time never be negative, ignore the negative root t=-1.03.

Therefore, the splash down will occur after 67.37 seconds.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS