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.

Projectile Motion

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

Projectile Motion

How much time has passed between subsequent positions?

1 unit of time

Projectile Motion

How much time has passed between subsequent positions?

1 unit of time

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.

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

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

Projectile MotionWhat does each vertical side of a colored

region represent?

Left Side

xDisplacement

1

3

5

ConsecutiveODD

Numbers

Projectile MotionDescribe the motion of the projectile at

subsequent positions.

CONSTANTHorizontalVelocity

Projectile MotionDescribe the motion of the projectile at

subsequent positions.

CHANGINGVerticalVelocity

Projectile MotionDraw an arrow representing the horizontal

velocity at each position.

vx

vx

vx

vx

Projectile MotionDraw an arrow representing the vertical

velocity at each position.

vx

vx

vx

vx

vy

vy

vy

vy=0

Projectile MotionDraw an arrow representing the speed

at each position.

vx

vx

vx

vx

vy

vy

vy

Projectile MotionUse your knowledge of right triangles to

draw in the speed.

90 90

Projectile MotionDraw an arrow representing the speed

at each position.

vx

vx

vx

vy

vy

vy

v

v

v

v

Projectile MotionUse your knowledge of the Pythagorean

theorem calculate the speed.

90

v vy

vx

v2=vx2+vy2

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…

Projectile Motion

vx

vx

vx

v=vx

vy

vy

vy

ag

ag

ag

v

v

v

ag

Kinematics EquationsYou can still use all these…but just be

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

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