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profgabs05
 2
 1
 Homework Statement

A mass π is accelerated by a timevarying force πΌ ππ₯π(βπ½π‘)π£3, where v is its velocity. It also experiences a resistive force ππ£, where π is a constant, owing to its motion through the air. The equation of motion of the mass is therefore
πππ£/ππ‘= πΌ ππ₯π(βπ½π‘)π£^3 β ππ£.
Find an expression for the velocity v of the mass as a function of time, given that it has an initial velocity π£0
 Relevant Equations
 πππ£/ππ‘= πΌ ππ₯π(βπ½π‘)π£^3 β ππ£.