A particle moves along the x-axis with its position at time t given by x(t) = (t - a)(t - b), where a and b are constants and a does not equal b. For what value of t is the particle at rest?
Added by Cody D.
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The velocity is the derivative of the position function with respect to time. So, we differentiate x(t) = (t - a)(t - b) with respect to t. Using the product rule, we get: v(t) = dx/dt = (t - a) + (t - b) = 2t - (a + b) The particle is at rest when its velocity Show more…
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