4. Recall that Newton's law is F = ma, where F is the net force, m is the mass and a is the acceleration of the object. At first this may not look like it, but this is actually a differential equation. (c) We can find the displacement of the ball in the same manner (as a dr/dt² and v = dı/dt) and proceed to solve the 2nd order ODE. How- ever, we can simply integrate the velocity to obtain the displacement. Use either method you prefer to obtain the displacement with the initial condition r(0) = 0m.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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4. Recall that Newton's law is F = ma, where F is the net force, m is the mass
and a is the acceleration of the object. At first this may not look like it, but
this is actually a differential equation.
(c) We can find the displacement of the ball in the same manner (as a
dr/dt² and v = dı/dt) and proceed to solve the 2nd order ODE. How-
ever, we can simply integrate the velocity to obtain the displacement.
Use either method you prefer to obtain the displacement with the initial
condition r(0) = 0m.
Transcribed Image Text:4. Recall that Newton's law is F = ma, where F is the net force, m is the mass and a is the acceleration of the object. At first this may not look like it, but this is actually a differential equation. (c) We can find the displacement of the ball in the same manner (as a dr/dt² and v = dı/dt) and proceed to solve the 2nd order ODE. How- ever, we can simply integrate the velocity to obtain the displacement. Use either method you prefer to obtain the displacement with the initial condition r(0) = 0m.
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