A runner runs along the helix r(t) = (cost,sin t,t). When he isat position r( π/2), his speed is 3 m/s and he is accelerating at a rate of1/2 m/s2. Find his acceleration vector a at this moment. Note: The runner’s acceleration vector does not coincide with the acceleration vectorof r(t).

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 5OQ: Does a car moving around a circular track with constant speed have (a) zero acceleration, (b) an...
icon
Related questions
icon
Concept explainers
Topic Video
Question

A runner runs along the helix r(t) = (cost,sin t,t). When he is
at position r( π/2), his speed is 3 m/s and he is accelerating at a rate of
1/2 m/s2. Find his acceleration vector a at this moment. Note: The runner’s acceleration vector does not coincide with the acceleration vector
of r(t).

Expert Solution
steps

Step by step

Solved in 2 steps

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
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
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning