solutions - hudson city school district
TRANSCRIPT
Conversion:
Given
1.59 cm/s2
2.4 cm
/s2
Trig applied to acceleration vector:4ft = 121.9 cm ay = asinθ = (2.4 cm/s2)sin41o =1.59 cm/s2
*Note: Like #3, there are two ways to solve this one.You can apply trig to the distance information given or to the acceleration vector.
Mo4 Motion Deluxe#1 Can the x‐component of a vector be greater than the magnitude of the vector?
How about the y‐component? Explain...
θ
V
Vx
Vy
#2 A golf ball is hit with an inial speed of 35 m/s at an angle less than 45o above the horizontal.
The horizontal velocity component is...
(a) greater than , (b) equal to, (c) less than the vercal velocity component. Why?
35 m/s
#3 If the ball is hit at an angle of 37o, what are the inial horizontal and vercal velocity components?
#4 The x‐ and y‐components of an acceleraon vector are 3.0 m/s 2 and 4.0 m/s2, respecvely. The magnitude of the acceleraon vector is...
#5 What are the magnitude and direcon of the "resultant" acceleraon vector shown in #4?
3 m/s2
4 m/s
2 a
θ
(a) less than 3.0 m/s2
(b) betwen 3.0 m/s2 and 4.0 m/s2
(c) between 4.0 m/s2 and 7.0 m/s2
(d) equal to 7.0 m/s2
#6 If the magnitude of a velocity vector is 7.0 m/s and the x‐component is 3.0 m/s, what is the y‐component?
3 m/s
? m/s
7 m/s
θ
#7 The x‐component of a velocity vector that has an angle of 37o to the x‐axis has a magnitude of 4.8 m/s.
(a) What is the magnitude of the velocity?(b) What is the magnitude of the y‐component of the velocity?
4.8 m/s
? m/s
? m/s
37o
θ = 37o
Vx= (35m/s)cos37o = 28 m/s
Vy = (35m/s)sin37o = 21 m/s
Vx
Vy35 m
/s
a2 + b2 = c2PYTHAGORIZE IT!
PYTHAGORIZE IT!
BAD A$$ BONUS PROBLEM:Bob and Becky Munden are in flight to the annual Bad A$$ convention held in Toronto Canada along with Joe Kittenger, Col. John Stapp, Chuck Norris, Stevie Ray Vaughn, and Bruce Lee. They are on a Southwest Airlines Boeing 727 cruising at a speed of 900 km/hr in a direction that is 78 degrees to the North of due East. If the Canadian Border runs essentially West to East and at noon the plane is 1300 km South of the border...(a) What are the Northerly and Easterly components of the planes velocity? (b) What time will it be when the plane passes over the U.S./Canada border? and (c) If the plane were to crash exactly on the border line, where would the survivors be buried?
Border
1300 km
Part c) Duh...Chuck Norris would never allow the plane to crash...and besides that you don't bury survivors!
Bad A$$ Answer
P.M.P.M.D.D.Processed Meat Projectile Motion Demo Deluxe µs Timer
P.M.P.M.D.D.
PhotoGate
VerticalHorizontal
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SPAM
2D Mo Intro1.
VerticalHorizontal
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Answer = 733 m
http://www.potatorock.com/
3.
VerticalHorizontal
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Answer = 1.6 m/s2
VerticalHorizontal
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#4*Note: Its the same cliff fromproblem #3 so Δt = 1.59 sec
VerticalHorizontal
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#5* Find Δt using vertical clues,then sub into horizontal.
VerticalHorizontal
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#7* Find Δt using horizontal clues,then sub into vertical.
VerticalHorizontal
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#8 Vx = 6 m/s
Vy = ?
V = ?
θ = ?
*Find Vy using the vertical kinematics clues, then do trig on the vectors.
Vx = 6 m/s
Vy = 68.6 m/s
V = ?
θ = ?