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...
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