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3.4 Rates of Change

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Last updated about 2 years ago
11 questions
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Use this for #1-5


Numerical answers only, no units
Question 1
1.


Displacement: How much has the position changed? Positive for an increase, negative for a decrease
answer in m

Question 2
2.


Average Velocity: Displacement divided by time
answer in m/s

Question 3
3.

answer in m/s

Question 4
4.

Question 5
5.

At what value(s) of t does the particle change directions?

Questions #6-8 refer to a cube with volume V and side length s
Question 6
6.


V`(s)=_______ fill in the blank below

Question 7
7.

Question 8
8.

Evaluate the rate of change of V at s=5

Question 9
9.

How fast is the water running 10 minutes after the tank has started to drain? Submit a numeric answer in terms of gallons/minute

Question 10
10.

A body's position is given by the equation s(t)=sint+cost

Find the body's velocity at
Give an exact answer

Question 11
11.

A body's position is given by the equation s(t)=sint+cost

Find the body's acceleration at
Give an exact answer