Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent...

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Transcript of Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent...

Page 1: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.
Page 2: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile Motionvo

Launch a projectile horizontally from the top of a cliff.

Draw the subsequent path of the projectile marking the position of the projectile at equal intervals of time.

Page 3: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile Motion

How much time has passed between subsequent positions? 1 unit of time

Page 4: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile Motion

How much time has passed between subsequent positions?

1 unit of time

Page 5: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile Motion

How much time has passed between subsequent positions?

1 unit of time

Page 6: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile Motion

Draw a pair of horizontal and vertical line from each position.

Draw an outline of the projectile at each pair of

intersecting lines

Draw a horizontal and vertical Draw a horizontal and vertical line extending away from the line extending away from the the projectile’s initial position.the projectile’s initial position.

Page 7: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

1 unit 1 unit 1 unit

Describe the horizontal displacements.Projectile Motion

How much time passed between subsequent positions?

1 unit of time

What’s the displacement between subsequent positions?

Horizontal Displacements are EQUAL

Page 8: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

1 unit

5 units

3 units

Projectile MotionDescribe the vertical displacements.

How much time passed between subsequent positions?

1 unit of time

What’s the displacement between subsequent positions?

x’s = Consecutive ODD #s

Page 9: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionWhat does each vertical side of a colored

region represent?

Left Side

xDisplacement

1

3

5

ConsecutiveODD

Numbers

Page 10: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionDescribe the motion of the projectile at

subsequent positions.

CONSTANTHorizontalVelocity

Page 11: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionDescribe the motion of the projectile at

subsequent positions.

CHANGINGVerticalVelocity

Page 12: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionDraw an arrow representing the horizontal

velocity at each position.

vx

vx

vx

vx

Page 13: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionDraw an arrow representing the vertical

velocity at each position.

vx

vx

vx

vx

vy

vy

vy

vy=0

Page 14: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionDraw an arrow representing the speed

at each position.

vx

vx

vx

vx

vy

vy

vy

Page 15: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionUse your knowledge of right triangles to

draw in the speed.

90 90

Page 16: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionDraw an arrow representing the speed

at each position.

vx

vx

vx

vy

vy

vy

v

v

v

v

Page 17: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionUse your knowledge of the Pythagorean

theorem calculate the speed.

90

v vy

vx

v2=vx2+vy2

Page 18: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile MotionDraw an arrow representing the acceleration at each position.

vx

vx

vx

v=vx

vy

vy

vy

v

v

vag

ag

ag

agBut guess what…

Page 19: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile Motion

vx

vx

vx

v=vx

vy

vy

vy

ag

ag

ag

v

v

v

ag

Page 20: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Kinematics EquationsYou can still use all these…but just be

sure to keep you keep the x and y dimensions separated!

Page 21: Projectile Motion vovo Launch a projectile horizontally from the top of a cliff. Draw the subsequent path of the projectile marking the position of the.

Projectile Motion• You gotta ‘Keep ‘em separated….’

tvx

vv

a

x

xx

x

0

0 constant

0

Horizontal Motion Vertical Motion

gyvyavv

gttvtatvy

gtvtavv

ga

yyyy

yyy

yyyy

y

22

m/s 9.81

positive. is upwards Assume

20

20

2

221

02

21

0

00

2

The X-stuff The Y stuff