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Elvis 123456789
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Homework Statement
An object of mass m is initially at rest and is subject to a time-dependent force given by F = kte^(-λt), where k and λ are constants.
a) Find v(t) and x(t).
b) Show for small t that v = 1/2 *k/m t^2 and x = 1/6 *k/m t^3.
c) Find the object’s terminal velocity.
Homework Equations
The Attempt at a Solution
I showed my work for finding v(t) and getting the approximation for v(t) for small t. but I am missing the 1/2 at the front and I can't seem to find where it comes from.