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calculus - motion > calculus - motion (AB) > Flashcards

calculus - motion (AB) Flashcards

1
Q

velocity = 0

A

stopped

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2
Q

new position

A

initial position + change

f(new) = f(old) + integral of velocity

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3
Q

acceleration and velocity have the same sign

A

speed increasing

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4
Q

velocity graph is above the x-axis

A

moving right or up

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5
Q

velocity

A

moving left or down

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6
Q

total distance travelled formula

A

integral of abs value of velocity

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7
Q

On the velocity graph, how can you find if there is a change of direction

A

graph crossed over the x-axis

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8
Q

speed decreasing

A

velocity and acceleration have different signs

working against each other - slowing down

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9
Q

velocity > 0

A

moving up or right

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10
Q

displacement

A

integral of velocity

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11
Q

velocity graph is below the x-axis

A

moving left or down

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12
Q

velocity and acceleration have different signs

A

speed decreasing

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13
Q

acceleration = 0

A

constant speed

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14
Q

what happens if the velocity changes sign?

A

change of direction

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15
Q

How far you are from where you started

A

displacement

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16
Q

On the velocity graph how can you tell you stopped?

A

x-intercept - touches x-axis

17
Q

speed increasing

A

velocity and acceleration have the same sign

working together - speeding up

18
Q

velocity graph touches x-axes

A

stopped

19
Q

integral of velocity on interval

A

displacement

- how much your position has changed

20
Q

velocity graph crosses x-axis

A

change of direction

21
Q

stopped

A

velocity = 0

22
Q

average velocity

A

(final pos - initial pos)/(change in time)

1/(b-a) * integral of velocity

23
Q

moving right or up

A

velocity > 0

24
Q

speed is..

A

abs value of velocity

-always positive

25
Q

moving left or down

A

velocity

calculus - motion (2 decks)

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