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Applied Maths > Projectiles > Flashcards

Projectiles Flashcards

1
Q

horizontal plane Vx

A

ux

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2
Q

horizontal plane Sx

A

uxt

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3
Q

horizontal plane Vy

A

uy - gt

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4
Q

horizontal plane Sy

A

Uy.t - 1/2gt²

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5
Q

up an inclined plane Vx

A

ucosa - gtsina

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6
Q

up an inclined plane Sx

A

ucosa - 1/2gt²sinB

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7
Q

up an inclined plane Vy

A

usina - 1/2gtcosB

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8
Q

up an inclined plane Sy

A

utsina - 1/2gt² cosB

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9
Q

down an inclined plane Vx

A

ucosa + gtsinB

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10
Q

down an inclined plane Sx

A

utcosa + 1/2gt²sinB

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11
Q

down an inclined plane Vy

A

usina - gtcosB

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12
Q

down an inclined plane Sy

A

utsina - 1/2 gt²cosB

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13
Q

time of flight

A

sy=0

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14
Q

horizontal range

A

Sx @ sy=0

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15
Q

time to max height

A

Vy = 0

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16
Q

max height

A

Sy @ Vy = 0

17
Q

direction of motion before max height

A

tan θ = Vy/Vx

18
Q

direction of motion after max height

A

tan θ = -Vy / Vx

19
Q

path contains point (a,b)

A 
sx = a
sy = b
20
Q

up an inclined plane, what is H

A

the perpendicular height to the inclined plane

21
Q

up an inclined plane, what is h

A

the perpendicular height the the original x-axis

22
Q

how do you find h?

A

to find H; Sy @ Vy = 0

h = H/cosB

23
Q

up an inclined plane, direction of motion before max height

A

tan θ = Vy/Vx

24
Q

up an inclined plane, direction of motion after max height , Vx is positive

A

tan θ = -Vy/Vx

25
Q

up an inclined plane, direction of motion after max height , Vx is negative

A

tan θ = Vy/Vx

26
Q

strikes the plane at right angles, 2 things we know

A 
Sy = 0 (time of flight)
Vx = 0 (direction)
27
Q

strikes the plane horizontally, 2 things we know

A

Sy = 0 (time of flight)

tan β̞ = -Vy/Vx (direction)

28
Q

what is β̞

A

angle between Vx and horizontal

29
Q

what is θ

A

angle between direction of motion (speed not velocity) and Vx

30
Q

collisions parallel to the fixed surface

A

no change

31
Q

collisions perpendicular to fixed surface

A

newtons experimental law

32
Q

projected downwards Vx

A

ucosa

33
Q

projected downwards Sx

A

ucosa t

34
Q

projected downwards Vy

A

usin a + gt

35
Q

projected downwards Sy

A

usina t + 1/2gt squared

Applied Maths (1 decks)

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