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In Example $6,$ find the average velocity of the object with respect to time between 3.00 s and 6.00 s.

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 6

Other Applications

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Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:31

The velocity in $\mathrm{m…

01:03

Average velocity The funct…

02:02

Find the average speed ove…

01:50

A particle moves along a s…

00:30

The function $s(t)$ repres…

02:26

An object moves along the …

00:32

Suppose $s(t)$ is the posi…

01:01

02:22

The acceleration of a part…

06:33

The velocity of a particle…

for this problem we are asked to find the average velocity of the object of a falling object with respect to time between three seconds and six seconds. So in this case we have that V average where vehicles 32 T the average will be equal to the integrate from or excuse me. The integral from. Let's see from three up to six of 32 T D. T. Over six minus three. So that will then be 1/3 times 32 t squared over two evaluated from 3 to 6. If we then evaluate this we'll have actually, let me fix this up here. We have 32/6 times 36 over or a knot over to just 36 -9 Which would then be 32/6 times 27. Yes. So we'll find that the average velocity will be 144 I believe. In this case the units are in terms of feet. Let me double check here. Yes. The average velocity would be 144 ft/s.

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