Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.10 m/s, b = 1.25 m, c = 0.123 m/s2, and d = 1.02 m. (a) Calculate the average velocity during the time interval from t = 1.85 s to t = 3.85 s.(b) Determine the velocity and speed at t = 1.85 s.

Given: Position vector as a function of time rt=xti^+ytj^ Where xt=at+b and yt=ct2+d Values of…

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average velocity during the time interval from t = 1.85 s to t = 3.85 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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...

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Suppose the position vector for a particle is given as a function of time by

r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct² + d, where a = 1.10 m/s, b = 1.25 m, c = 0.123 m/s², and d = 1.02 m.

(a) Calculate the average velocity during the time interval from t = 1.85 s to t = 3.85 s.

(b) Determine the velocity and speed at t = 1.85 s.

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