A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x=20m +(5.0m/s²) t². (a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s (b.) Find the average velocity during the same time interval. (c.) Find the instantaneous velocity at t, = 1.0Os by taking At = 0.1s, then At = 0.01s then At = 0.001s (d.) Derive a general expression for the instantaneous velocity as function of time and from it find v,, at t=1.0 s and t=2.0s
A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x=20m +(5.0m/s²) t². (a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s (b.) Find the average velocity during the same time interval. (c.) Find the instantaneous velocity at t, = 1.0Os by taking At = 0.1s, then At = 0.01s then At = 0.001s (d.) Derive a general expression for the instantaneous velocity as function of time and from it find v,, at t=1.0 s and t=2.0s
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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...
Related questions
Concept explainers
Topic Video
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
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.Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill