Suppose that the motion of a particle on the x-axis is given according to x(t) = 2t3 + 5t2 + 5, where position is measured in m and time in s. Find: a) The position, velocity and acceleration when t = 2s and when t = 3s. b) Average velocity and average acceleration between t = 2s and t = 3s.

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 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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solve the following exercise

Suppose that the motion of a particle on the x-axis is given according to
x(t) = 2t3 + 5t² + 5,
where position is measured in m and time in s. Find:
a) The position, velocity and acceleration when t = 2s and when t = 3s.
b) Average velocity and average acceleration between t = 2s and t = 3s.
Transcribed Image Text:Suppose that the motion of a particle on the x-axis is given according to x(t) = 2t3 + 5t² + 5, where position is measured in m and time in s. Find: a) The position, velocity and acceleration when t = 2s and when t = 3s. b) Average velocity and average acceleration between t = 2s and t = 3s.
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