An astronaut lands on a newly discovered planet (that has a nice gravitational constant). He proceeds to jump out of the spacecraft and onto the planet's surface. His height above the ground (in feet) after t seconds is given by the function h (t) = -3t + 12t +36. A. How high off the ground is the astronaut after 1 second? B. What is the astronaut's velocity after 1 second? Is he traveling up or down? C. How fast is the astronaut traveling when he lands on the planet? D. When will the astronaut be at his highest point in the jump? E. Is the astronaut speeding up or slowing down after 2 seconds? At what rate?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
An astronaut lands on a newly discovered planet (that has a nice gravitational constant). He proceeds to jump out of the spacecraft and onto the planet’s surface. His height above the ground (in feet) after t seconds is given by the function \( h(t) = -3t^2 + 12t + 36 \).

A. How high off the ground is the astronaut after 1 second?

B. What is the astronaut’s velocity after 1 second? Is he traveling up or down?

C. How fast is the astronaut traveling when he lands on the planet?

D. When will the astronaut be at his highest point in the jump?

E. Is the astronaut speeding up or slowing down after 2 seconds? At what rate?
Transcribed Image Text:An astronaut lands on a newly discovered planet (that has a nice gravitational constant). He proceeds to jump out of the spacecraft and onto the planet’s surface. His height above the ground (in feet) after t seconds is given by the function \( h(t) = -3t^2 + 12t + 36 \). A. How high off the ground is the astronaut after 1 second? B. What is the astronaut’s velocity after 1 second? Is he traveling up or down? C. How fast is the astronaut traveling when he lands on the planet? D. When will the astronaut be at his highest point in the jump? E. Is the astronaut speeding up or slowing down after 2 seconds? At what rate?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Projectile motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON