Given the equation of the displacement x of a certain object at any time t x = 2t + 3t² + 10, in meter   a. What is the velocity of the object at time t = 5 seconds? b. What is the acceleration of the object at time t = 10 seconds?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 28P: A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km....
icon
Related questions
icon
Concept explainers
Topic Video
Question

Given the equation of the displacement x of a certain object at any time t x = 2t + 3t² + 10, in meter

 

a. What is the velocity of the object at time t = 5 seconds?

b. What is the acceleration of the object at time t = 10 seconds?

 

Note: Velocity is the first derivative of displacement. Acceleration is the second derivative of displacement.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
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
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College