* A stone is released from a catapult towards a castle. The castle is 120 m away, and is 10m high The stone moves with horizoetal component -3 metres and vertical component y--49 + 20 +5 metres, where t is the time in seconds, >0. . Find the position of the stone afler I second. • Find the masimum height reachod by the stone. theight distance « Will the stone fly over the castle, hit the castle, or land in front of the castle? Explain your anwer

Intermediate Algebra
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Author:Lynn Marecek
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Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
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2 A stone is released from a catapult towards a
castle. The castle is 120 m away, and is 10 m
high.
The stone moves with horizontal component
- 30t metres and vertical component
y = -4.9 + 201 +5 metres, where t is the
time in seconds, t>0.
a Find the position of the stone after
1 second.
b Find the maximum height reached by the
4 height
10m
-120m-
distance
stone.
e Will the stone fly over the castle, hit the castle, or land in front of the castle? Explain your
answer.
Transcribed Image Text:2 A stone is released from a catapult towards a castle. The castle is 120 m away, and is 10 m high. The stone moves with horizontal component - 30t metres and vertical component y = -4.9 + 201 +5 metres, where t is the time in seconds, t>0. a Find the position of the stone after 1 second. b Find the maximum height reached by the 4 height 10m -120m- distance stone. e Will the stone fly over the castle, hit the castle, or land in front of the castle? Explain your answer.
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