3.4 Rates of Change

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11 questions

Use this for #1-5


Numerical answers only, no units
1


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

1


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

1

answer in m/s

1

1

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
1


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

1

1

Evaluate the rate of change of V at s=5

1

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

1

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

Find the body's velocity at
Give an exact answer

1

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

Find the body's acceleration at
Give an exact answer