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.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
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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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