If the vector components of the position of a particle moving in the xy plane as a function of time are  x = (2.8 m/s2)t2  and  y = (6.4 m/s3)t3,  at what time t is the angle between the particle's velocity and the x axis equal to 45°?

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 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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If the vector components of the position of a particle moving in the xy plane as a function of time are 

x = (2.8 m/s2)t2

 and 

y = (6.4 m/s3)t3,

 at what time t is the angle between the particle's velocity and the x axis equal to 45°?

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