Solve for Position: Physics Question with Initial Position and Velocity

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A particle has an initial position X=0m and an initial velocity v=-6.0m/s. Its acceleration is given by the function [1.0 m/s^2 + (0.25 m/s^3)t] where t is in seconds.

Use calculus to find the position of the particle at the instant when its velocity is zero.


-this is a bonus question on an assignment..its a bonus because we haven't started calculus yet, therefore I have no idea how to do it.

Thanks
 
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If you don't know any calculus, you can't really do it... unless you do it graphically and knew what the geometric idea behind integration is without really having to know what integration is.