A particle of mass m is in a force field described by the equation,

F(x) = bx

Here b is a positive constant. At t = 0, the particle is released from the origin (x₀ = 0) with an initial velocity V₀

a) Build a differential equation, and use a 'trial solution' to find the position of the particle as a function of time, x(t)

b) Use the 'separating variables and integration' method to find x(t)

Expert Solution

Colby Messinger answered 2 months ago

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