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and then plug in what?
The discussion focuses on determining the velocity of a particle as a function of position, given its acceleration defined by the equation a = 4s² m/s². The initial conditions specify that the velocity v = -100 m/s when the position s = 10 m. Participants emphasize the importance of correctly setting limits of integration when solving the integral of acceleration to find velocity. The correct approach involves integrating the acceleration function and applying the appropriate limits to derive the velocity function.
PREREQUISITESStudents in dynamics courses, physics enthusiasts, and anyone looking to deepen their understanding of particle motion and the mathematical relationships between acceleration, velocity, and position.
A particle is moving along a straight line such that its acceleration is defined as a=(4s^2)m/s^2, where s is in meters. If v=-100m/s when s=10m and t=0, determine the particles velocity as a function of position.