1. The dog runs across the backyard lot on which a set of coordinates axes has, strangely  observed, been drawn. The coordinates of the dog’s position as functions of time t are given  by  X = -0.35?2 + 7.5t +30  and  Y = 0.25?2 – 9.5t + 26. With t in seconds and x and y in meters. (a) At t =15.0s, what is the dogs position vector ? in unit – vector notation and as magnitude  and an angle.

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
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1. The dog runs across the backyard lot on which a set of coordinates axes has, strangely 
observed, been drawn. The coordinates of the dog’s position as functions of time t are given 
by
 X = -0.35?2 + 7.5t +30 
and
 Y = 0.25?2 – 9.5t + 26.


With t in seconds and x and y in meters.
(a) At t =15.0s, what is the dogs position vector ? in unit – vector notation and as magnitude 
and an angle.


(b) The velocity ? at time t =15.0s in unit – vector notation and as magnitude and an angle.


(c) Find the acceleration ? at time t = 15.0s in unit – vector notation and as magnitude and an 
angle.

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