A particle moves along the x axis according to the equation x = 1.92 + 3.03t – 1.00t“, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 3.10 s. m (b) Find its velocity at t = 3.10 s. The instantaneous velocity at a particular time can be obtained by taking the time derivative of the position versus time function and then putting in the specific value of t. m/s (c) Find its acceleration at t = 3.10 s.

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
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Problem 48P: A commuter train travels between two downtown stations. Because the stations are only 1.00 km apart,...
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A particle moves along the x axis according to the equation x = 1.92 + 3.03t – 1.00t, where x is in meters and t is in seconds.
(a) Find the position of the particle at t = 3.10 s.
m
(b) Find its velocity at t = 3.10 s.
The instantaneous velocity at a particular time can be obtained by taking the time derivative of the position versus time function and then putting in the specific value of t. m/s
(c) Find its acceleration at t = 3.10 s.
The instantaneous acceleration at a particular time can be obtained by taking the second time derivative of the position versus time function and then putting in the specific value of t. m/s
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Transcribed Image Text:A particle moves along the x axis according to the equation x = 1.92 + 3.03t – 1.00t, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 3.10 s. m (b) Find its velocity at t = 3.10 s. The instantaneous velocity at a particular time can be obtained by taking the time derivative of the position versus time function and then putting in the specific value of t. m/s (c) Find its acceleration at t = 3.10 s. The instantaneous acceleration at a particular time can be obtained by taking the second time derivative of the position versus time function and then putting in the specific value of t. m/s Need Help? Read It Master It
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