College Physics

11th Edition

ISBN: 9781305952300

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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The position of a particle in meters is given by x =2.5t + 3.1t ^2 - 4.5t^3, where t is the time in seconds. What are the instantaneous velocity and instantaneous acceleration at t = 0.0 s? At t = 2.0 s? What are the average velocity and average acceleration for the time interval 0 greater than or equal to t less than or equal to 2.0 s?

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Suppose an object starts at time t=0s at a position defined as x=0m. At t=0.5s, the object is at x=1.5m, and at t=1.0s, the object is at x=2.0m.
What is the average velocity for the first interval (approximated at t=0.25s) and for the second interval (approximated at t=0.75s)?
What is the average acceleration of the object?

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The velocity of a particle at any time t moving along an x-axis is given by the following equation: v = 3t^2 - 8t + 3 where v is in m/s. At t = 0, x = 0. Determine the following:(a) the particle's displacement between t = 0 and t = 4 s (b) the average velocity for the time interval t =0 to t = 4 s (c) the acceleration when t =3 s (d) the instantaneous velovity at t = 4 s (e) what is the initial direction of motion of the particle?

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From t = 0 to t = 4.14 min, a man stands still, and from t = 4.14 min to t = 8.28 min, he walks briskly in a straight line at a constant speed of 1.60 m/s. What are (a) his average velocity vavg and (b) his average acceleration aavg in the time interval 1.00 min to 5.14 min? What are (c) vavg and (d) aavg in the time interval 2.00 min to 6.14 min?

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The position of a particle moving along the x axis is given by x=3t2-15t-10m, where t is in s, Determine the following
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