Answered: How would you derive the kinematic…

How would you derive the kinematic equation for position under constant acceleration conditions? The result is: x(t) = x0 + v0 t + ½ a t2

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 30P: A speedboat increases its speed uniformly from vi = 20.0 m/s to Vf = 30.0 m/s in a distance of 2.00 ...

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Question

How would you derive the kinematic equation for position under constant acceleration conditions? The result is:

x(t) = x₀ + v₀ t + ½ a t²

^{How do you explain the ½ to a student?}

Study of objects in motion.

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