Two particles have positions at a time t given by the equations x1 = t^3 - t and x2 = 6t^2 - t^3. Find the velocities when they have the same acceleration.
Added by Juan Manuel G.
Step 1
Acceleration is the second derivative of the position function with respect to time. For particle 1, the position function is x1 = t^3 - t. Let's find its first and second derivatives: v1 = dx1/dt = 3t^2 - 1 (velocity of particle 1) a1 = dv1/dt = 6t Show more…
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