CALCULUS STREETby Phoebe Costello and Sophia Hunt

Bert and Ernie are roller skating over to Big Birds house for a party.

t (min) 0 10 20 30 40 50

v(t) (meters per min)

0 5 14 22 29 35

The following table of values represents their velocity from 0 t 50 minutes.

a. Find the pairs average acceleration over the interval 0 t 50 minutes.

b. Zoe and Rosita are roller skating to the party at an acceleration of m/min/min.

Which of the two pairs is accelerating more at time t = 40 minutes?

Zoe and Rosita: Bert and Ernie (average):

Therefore, Bert and Ernie have the higher acceleration at time t = 40 minutes.

At the party, Cookie Monster has already begun chomping away at his beloved cookies.The rate at which Cookie Monster eats is changing at a rate of cookies/min.

How many cookies has he consumed at time t = 10 minutes?

Super Grover is flying around Big Birds house looking for people to rescue.

His horizontal velocity in meters/min after t minutes is represented by the equation

a. What is Grovers acceleration at t = 2 minutes?

b. Calculate Grovers total distance traveled after t = 5 minutes.

Always eager to entertain, Abby Cadabby takes to the sky to show off some of her latest flying tricks.

Her first trick is mapped by the curve and her second is mapped by the curve .

a. Calculate the area of the region bounded by the two curves.

b. What is the volume of the solid created when the curves are rotated about the x-axis?

After the party, Elmo and Snuffy part ways and head for home.Elmo walks due east of Big Birds house at a rate of 75 meters/min, while Snuffy walks due north

at a rate of 40 meters/min.

At t = 6 minutes, what is the rate of change of the distance between Elmo and Snuffy?

ab

c