Solve for Position: Physics Question with Initial Position and Velocity

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The discussion focuses on solving a physics problem involving a particle with an initial position of X=0m and an initial velocity of v=-6.0m/s, subject to an acceleration function of 1.0 m/s² + (0.25 m/s³)t. The objective is to determine the particle's position at the moment its velocity reaches zero, which requires the application of calculus concepts, specifically integration. Participants emphasize the necessity of understanding calculus to solve the problem accurately, as graphical methods may not suffice without a foundational grasp of integration.

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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.
 

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