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Dr. Mason’s Patented Quiz #2 Review Presentation
Accept no substitutesVoid where prohibited
Limit one per family
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“Everyone fights, nobody quits”
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Fill in the blanks
• V0 =
• Vi =
• Difference between V0 and Vi =
• V0X =
• V0Y = • Pythagorean Theorem = • T =
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Trig Stuff
A = 13
b = 9
c =
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Trig Stuff
A = 13
b =
c =
Θ = 400
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Más Trig
y
x
V0 = 25 m/s
Draw V0X and V0Y to scale on graph
V0X = V0Y =
Θ = 350
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Más Trig
y
x
V0 = 25 m/s
Draw V0X and V0Y to scale on graph
V0X = V0Y =
Θ = 1400
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Vectors
V0X = - 60 m/s
V0Y = 35 m/s
Θ =
V0 =
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VectorsV0X = - 40 m/s
V0Y = - 25 m/s Θ =
V0 =
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Vector Problems• A plane flies due north at a speed of 400 km/hr• The wind blows towards the east at a speed of
100 km/ hr.• Draw a diagram depicting this. • Calculate the magnitude and direction of Vf.
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Vector Problems• As previously, a plane flies at 400 km/hr with a
wind blowing east at 100 km/hr. • At what heading does the plane need to fly in
order to end up flying due north? Draw a diagram.
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Projectile motion concepts
• Motion in horizontal and vertical directions are:
• Acceleration always points:• Why:• The vertical speed of a projectile at the apex
of its trajectory:
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Projectile motion concepts again• The point in the trajectory where the
projectile moving the slowest:• Why:• Describe the horizontal and vertical
components of velocity at these 5 places:
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Final velocity, vector style
A plane flying horizontally at a speed of 200 m/s drops a care package from a height of 1000m. Whenthe care package hits the ground, these are the magnitude and direction (measured from the positiveX-axis) of its final velocity.
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Figuring out V0X and V0Y
• A projectile launches from the ground and lands 120m downrange in 3.4 seconds
• After how long did it reach its apex?• What is V0X?
• What is V0Y?
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Figuring out V0X and V0Y
• A projectile launches from the ground and lands 120m downrange in 3.4 seconds
• How high did the projectile go?• What was the launch angle?• What was the original launch speed V0?
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Equations for 2-D motion
• V0X (in terms of V0 and θ)=
• V0Y (in terms of V0 and θ)=
• Free fall equation (no V0Y):
• Y- Y0 (in terms of V0Y , g, t) =
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The infamous boy throwing rock off the cliff problem
• A boy throws a rock horizontally off a 130m cliff. The rock’s V0 = 15 m/s.
• How long after the rock is thrown does it hit the ground? How far did it travel horizontally?
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The infamous punter hang time problem
• A football punter kicks the ball with a speed of V0 = 35 m/s at an angle of 380 from the horizontal. How long does it stay in the air? How long to reach its apex?
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The infamous ‘how far does the punter kick the ball’ problem…with a twist
• A football punter kicks the ball with a speed of V0 = 35 m/s at an angle of 380 from the horizontal. How far does the punter kick the ball?
• How high does it go?
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The range equation• The range equation:• A cannon shoots a human at an angle of 400
and a V0 of 50 m/s. How far downrange does he land?
• Pretend air resistance is now turned on. How would that affect the range calculated in the previous problem?