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How many things would you have
to get right to make this work?
Amazing_Jump
By the way, this is a fake
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Fill in the Blank Notes
2. Projectile fired at an angle (not
0 or 90)
Projectile Path is Parabolic
Baseball Throw
showmethephysics.com
Victoria Lollo - Class of 2007
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Angle and Intitial Velocities
- Projectile fired at 5 m/s:
if Ө = 0
Vix =
5 m/s, Viy =
0
if Ө = 90
then .....
Vix=
0 m/s and Viy = 5
m/s
If angle not 0 or 90 the
initial velocity is part
vertical and part horizontal
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*** To understand this type of motion we must breakup the
velocity into
horizontal
and vertical parts (components)
Finding Initial Horizontal & Vertical Components
(parts)
V - velocity of projectile
fired
Vix - initial V in x direction
Viy - initial V in y direction
Use Trig. to Find Vix and
Viy
Since…
COSӨ =
A/H = Vix/V
CROSS MULTIPLY:
Initial Horizontal
Component
of Velocity
Vix = VcosӨ
(on reference table) |
Since…
sinӨ = Opp./Hyp. =
Viy/V
CROSS MULTIPLY:
Initial
Vertical
Component of Velocity
Viy = VsinӨ
(on reference table)
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During the times the ball is in the air,
how many times is the vertical velocity zero?
A bouncing ball captured with a stroboscopic flash at 25
images per second.
MichaelMaggs Edit by
Richard Bartz
home/animations3/Motion/VixViyAngle.swf
2 times / At the Peak
Ex) A baseball is thrown
upward at an angle of 30.° and a velocity of 6.0 m/s.
Find the initial horizontal & vertical components
of the baseball's velocity.
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Vertical Component
Viy = VsinӨ
=(6.0 m/s)sin30.°
Viy
= 3.0 m/s up
Horizontal Component
Vix = VcosӨ
=
(6.0 m/s)cos30.°
Vix
= 5.2 m/s across
3. Other Important Facts
dx =
Vxt
(memorize)
ay = -9.8 m/s2
Ascending
(down -)
ay =+9.8 m/s2
Descending
(down +)
Vy at Peak = 0
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Angles and
Ranges
What angle produces the
greatest range?
PelletierPhysics
45 degrees
Projectile Range
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Don Ion
Name another angle
that will give the same range (dx)
55 degrees
35 degrees
65 degrees
25 degrees
55 degrees
35 degrees
20 degrees
70 degrees
Minimum Range
0°, 90°
Maximum Range
45°
Angle with Longest
Time in Air?
90 degrees
Angle & Components
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Ex)
Which angle of projection causes a projectile to stay in the air longer?
50 or 70 degrees?
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70 degrees,
(closest to 90,
longer time in air)
Ranking
Task
1. A rock is thrown at various angles but with the
same initial velocity.
2° 70°
20° 5° 60°
Rank the angles above from smallest horizontal displacement
(dx) to the greatest
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Projectile
at an Angle
- Word Problems
[AP]
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