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.

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

i can you with this sweetie!

step-by-step explanation: