Particles A and B move to the right along a horizontal line. They start at a point O, s meters is the directed distance of the particle from O at t seconds, and the equations of motion for particles A and B are s = 4t2 + 5t and s = 7t2 + 3t, respectively. If t = 0 at the start, for what values of t will the velocity of particle A exceed the velocity of particle B?

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 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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Particles A and B move to the right along a horizontal line. They start at a point O, s meters is
the directed distance of the particle from O at t seconds, and the equations of motion for particles
A and B are s = 4t2 + 5t and s = 7t2 + 3t, respectively. If t = 0 at the start, for what values of t
will the velocity of particle A exceed the velocity of particle B?

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