Totaly stumped with this Dynamics problem. Please help!!! Instructions: Show all

Question

Totaly stumped with this Dynamics problem. Please help!!!

Instructions: Show all work. Be neat, partial credit will be awarded if I can follow your logic. Clearly mark your final solution. Use any appropriate method to solve the problems unless otherwise noted. 1. A 10-kg block has an initial velocity of 10 m/s on a smooth, horizontal plane. A force, F = (2.5 t) N, where t is in seconds, acts horizontally on the block in its direction of motion. Determine an expression for the distance, s in terms of time. t.

Explanation / Answer

F=2.5t a=F/m =0.25t dv/dt=0.25t v=0.25t^2/2+c =0.25t^2/2+10 ds/dt=0.25t^2+10 s=(0.25t^3)/6+10t+constant constant=0 if initial displacement=0

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