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Displacement
Activity
If so instructed by your teacher, print out a worksheet page for these
problems.
More
on the Glider
You will explore the
trigonometric relationship tan (a) = h/d where a is the
glide angle, h is the altitude of the plane, and d is the
horizontal distance the plane will travel.
Problems:
- A full-sized glider
has a glide angle of 2 degrees. If it loses 50 meters of altitude, how
far would it move horizontally?
- A model glider
moves horizontally 12 meters for every meter of altitude it loses. What
is it's glide angle
- A model glider
has a glide angle of 5 degrees. If it flies 23 meters horizontally,
how much altitude will it lose?
- A full-sized glider
has a glide angle of 5 degrees. If the altitude is 300 meters, will
the glider make it to an airport 4,000 meters away?
- A full-sized glider
loses 2 meters for every 38 meters it travels horizontally. What is
it's glide angle?
- A model glider
travels 57 meters horizontally after losing 5 meters of altitude. What
is it's glide angle?
- A model glider
loses 3 meters of altitude. If it has a glide angle of 4 degrees, how
far did the glider travel horizontally?
- A full-sized glider
lands 10,000 meters horizontally from where it began its downward diagonal
path. If the glide angle is 3 degrees, what was the glider's altitude?
- A model glider
has an average velocity of 2.2 m/s along it's downward diagonal path.
After 10 seconds, the glider has lost 2 meters of altitude. What is
the glider's glide angle and how far horizontally did it travel?
- A full-sized glider
has a velocity of 36 m/s along it's downward diagonal path. If it has
a glide angle of 4 degrees, how much altitude will it lose in 2 minutes?
How far will it travel horizontally in that 2 minutes?
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