The position function of a particle is given by r(t) = t2, 2t, t2 − 16t . When is the speed a minimum? Step 1 To find when the speed is a minimum, we need to find the speed as a function of t, then find its derivative and see when it is 0. We begin by finding the velocity vector. Since r(t) = t2, 2t, t2 − 16t , we have v(t) = r'(t) = .

Step-by-step explanation:

The position of a particle is given by

Differentiating the above with respect to t, we get, velocity v(t) = .

Hence, the speed of the particle at t is .

The speed will be minimum, if

.

The speed will be minimum at t = 2.

At t=2, the speed is 14.

the answer to this question is 3/19

step-by-step explanation:

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