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Because the displacement $s,$ velocity $v,$ and time $t$ of a moving object are related by $s=\int v d t$, it is possible to represent the change in displacement as an area. A rocket is launched such that its vertical velocity $v$ (in $\mathrm{km} / \mathrm{s}$ ) as a function of time $t$ (in s) is $v=1-0.01 \sqrt{2 t+1} .$ Find the change in vertical displacement from $t=10 \mathrm{s}$ to $t=100 \mathrm{s}$

$$80.8 \mathrm{km}$$

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 2

Areas by Integration

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University of Michigan - Ann Arbor

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Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:30

A rocket is fired from res…

04:46

Between $t=0$ and $t=t_{0}…

02:46

The acceleration of a rock…

04:05

The position of a small ro…

07:07

Projectile trajectory The …

03:38

The velocity in feet per s…

04:59

In a rocket, the kinetic e…

09:47

A faulty model rocket move…

03:25

A rocket accelerates by bu…

01:52

A particle moves with acce…

on the origin For X X relation along hex, we can get to any creature for X so X is equal to one divided by 48 times. R t to the r four. Well, inserting disagree gin in certain this into equation into equipment for why we get why is equal to Route 100 120 times 10 to the power three. A motive. My by one day body by for it most of my by t floor on debt views Ex elation along. Why is equal to 100 meter for a second square? Well, or Alexa relations then, uh, overall x relaciones then we have a is equal to root a X squared. Uh, let's see a by square a musical to 25 square less Ah, 100 swim. So I thought Alexis relation is equal to 100 pre form 01 meter or second square

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In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

A rocket is fired from rest at $x=0$ and travels along a parabolic trajector…

Between $t=0$ and $t=t_{0},$ a rocket moves straight upward with an accelera…

The acceleration of a rocket traveling upward is given by $a=(6+0.02 s) \mat…

The position of a small rocket that is launched vertically upward is given b…

Projectile trajectory The position of a small rocket that is launched vertic…

The velocity in feet per second (ft'sec) of a rocket $t$ seconds (sec) …

In a rocket, the kinetic energy imparted to the consumed and ejected fuel is…

A faulty model rocket moves in the $xy$-plane (the positive $y$-direction is…

A rocket accelerates by burning its onboard fuel, so its mass decreases with…

A particle moves with acceleration function $a(t)=5+4 t-2 t^{2} .$ Its initi…

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