A 320-lb object is released from rest 500 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 20v, where v is the velocity of the object in ft/sec, determine the equation of motion of the object. When will the object hit the ground? Assume that the acceleration due to gravity is 32 ft/sec and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) = When will the object hit the ground? The object will hit the ground after seconds. (Round to three decimal places as needed.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 28P: In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a...
icon
Related questions
Topic Video
Question
A 320-lb object is released from rest 500 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air
resistance is - 20v, where v is the velocity of the object in ft/sec, determine the equation of motion of the object. When will the object hit the ground? Assume that
the acceleration due to gravity is 32 ft/sec and let x(t) represent the distance the object has fallen in t seconds.
Determine the equation of motion of the object.
x(t) =
When will the object hit the ground?
The object will hit the ground after
seconds.
(Round to three decimal places as needed.)
Transcribed Image Text:A 320-lb object is released from rest 500 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 20v, where v is the velocity of the object in ft/sec, determine the equation of motion of the object. When will the object hit the ground? Assume that the acceleration due to gravity is 32 ft/sec and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) = When will the object hit the ground? The object will hit the ground after seconds. (Round to three decimal places as needed.)
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
Second law of 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
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill