Solving Quadratics in Context with Motion
Models
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Vertical Motion
If an object has been thrown or launched, the formula to model
the height of the object "t" seconds after it has been launched is
h = -16t2 + vot + s (in feet)
h = -4.9t2 + vot + s (in meters)
h = the height of the object at any given point in time
t = time the object is in motion (in seconds)
v = the initial velocity that an object is launched
s = the initial height (in feet or meters) from which an object was dropped
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Vertical Motion
h = -16t2 + vot + s (in feet)
A trampolinist leaves the mat when her center of gravity is 6
feet above the ground with an initial vertical velocity of 35
feet per second. When will her center of gravity reach 24
feet on this jump?
h=
v=
s=
t =?
Answers:
@ .83sec & again
@ 1.36 sec
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Vertical Motion
h = -16t2 + vot + s (in feet)
Mr. Coulson was shot out of a human sling-shot as a surprise for his
50th birthday party. If he was launched out of the sling-shot 8 feet
above the ground with an initial vertical velocity of 40 feet per
second, how long will he be in the air until he hits the foam block
landing pad that is 10 feet high?
TRY
h=
v=
s=
t =?
Answers:
@ .05 sec
@ 2.45 sec√
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Falling Objects
The formula to model the height of an object "t" seconds after it
has been dropped is:
h = -16t2 + s (in feet)
h = -4.9t2 + s (in meters)
h = the height of the object at any given point in time
t = time the object is in motion (in seconds)
s = the initial height (in feet or meters) from which an object was dropped
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