parabolic motion
DESCRIPTION
Gerak parabolikTRANSCRIPT
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PARABOLIC MOTION
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Parabolic motion refers to the motion of an object that is thrown, or projected, into the air at an angle.
Describing parabolic motion
Parabolic motion is a combination of horizontal motion with constant horizontal velocity and vertical motion
with a constant downward acceleration due to gravity.
The vertical motion of a projected object is independent of its horizontal motion.
The one common variable between the horizontal and vertical motions is time.
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Velocities vector ofhorizontal
and vertical motion
Parabolic motion
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Parabolic motion
HorizontalHorizontal Motion of a ball rolling freely along a
level surface Horizontal velocity is ALWAYS
constant VerticalVertical
Motion of a freely falling object Force due to gravity Vertical component of velocity
changes with time ParabolicParabolic
Path traced by an object accelerating only in the vertical direction while moving at constant horizontal velocity
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Horizontal and vertical motion
Parabolic motion
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Time of flightis
determined
byvertical motion
Parabolic motion
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The bullet motion
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Angle for maximum distance
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Angle for maximum distance
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Projectile motion
Horizontal component of velocity is constant over entire path!
vx = v0x= v0cosNo acceleration in horizontal direction
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Projectile motion
Vertical component of velocity constantly changing due to gravitational acceleration in -y
directionv0y --> 0 -> -v0y v0y = v0sin
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Projectile motion
At the top of the trajectory: t = 1/2 of total timex = 1/2 of total horizontal range
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Projectile motion
vx = v0cos = constantx = v0xt = (v0cos t
Horizontal motion of projectile:
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Projectile motion
Vertical motion of projectile:
vy = v0sin - gty = (v0sint - 1/2gt2
vy2 = (v0sin2 - 2gy
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Projectile motion
Combined 2D motion:
v = (vx2 + vy
2)1/2
tan = vy/vx
= tan-1(vy/vx)-90 < < 90
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Simulation#1
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Simulation#2
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Simulation#3
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Exercise#1
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Summary
• A projectile is a body in free fall that is affect only by gravity and air resistance.• Projectile motion is analyzed in terms of its horizontal and vertical components. Vertical is affect by gravity• Factors that determine the height & distance of a projectile are; projection angle, projection speed, and relative projection height• The equation constant acceleration can be used to quantitatively analyze projectile motion.
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Exercise #2:
1.A batter hits a ball at 35 with a velocity of 32 m/s. How high did the ball go?
H = 17 mHow long was the ball in the air?
t = 3.8 sHow far did the ball go?
x = 98 m
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Exercise #2:
2. While driving down a road a bad guy shoots a bullet
straight up into the air. If there was no air resistance
where would the bullet land – in front, behind, or on him?
• If air resistance present, bullet slows and lands behind.
• No air resistance, the Vx doesn’t change and bullet lands on him.
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Exercise #2:
3. A truck (v = 11.2 m/s) turned a corner too sharp and lost part of the load. A falling box will break if it hits the ground with a velocity greater than 15 m/s. The height of the truck bed is 1.5 m. Will the box break?
v = 12 m/s, No it doesn’t break
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Exercise #2:
4. A meatball with v = 5.0 m/s rolls off a 1.0 m high table. How long does it take to hit the floor?
t = 0.45 s What was the velocity when it hit?
v = 6.7 m/s @ 42°