A proton moves along the x axis according to the equation x = 50t + 10t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (d) Graph x versus t and indicate how the answer to (a) can be obtained from the plot. (e) Indicate the answer to (b) on the graph. (f) Plot v versus t and indicate on it the answer to (c).
A proton moves along the x axis according to the equation x = 50t + 10t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (d) Graph x versus t and indicate how the answer to (a) can be obtained from the plot. (e) Indicate the answer to (b) on the graph. (f) Plot v versus t and indicate on it the answer to (c).
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 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...
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Question
A proton moves along the x axis according to the equation
x = 50t + 10t2, where x is in meters and t is in seconds. Calculate (a)
the average velocity of the proton during the first 3.0 s of its motion,
(b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the
instantaneous acceleration of the proton at t = 3.0 s. (d) Graph x
versus t and indicate how the answer to (a) can be obtained from the
plot. (e) Indicate the answer to (b) on the graph. (f) Plot v versus t
and indicate on it the answer to (c).
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