Velocity and Acceleration The position function of a particle is given by s = 1 / (t^2 + 4t + 4) where s is the height (in feet) and t is the time (in seconds). Find the velocity and acceleration functions. v(t) = a(t) =
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The derivative of a function gives the rate of change of the function, which in this case is the velocity of the particle. The derivative of \( s=\frac{1}{t^{2}+4 t+4} \) can be found using the chain rule and the power rule. The derivative is \( Show more…
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