Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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2. Solve the equation.
3(x+9)=D2(2x+15)
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.
11 A ball is thrown vertically upwards from a ledge 1.45 m above the ground. The height, h metres, of the ball above
the ground at / seconds can be modelled by the equation h = at² + bt+c.
a State the value of c.
The ball reaches its highest point above the ground when f = 1.4 seconds and hits the ground after a further
1.5 seconds.
bi Write down two equations in a and b.
ii Hence find the values of a and b.
c Find the times when the ball is 5 m above the ground.
TL
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Similar questions
- Solve: ex2ex=e6.arrow_forwardWhen solving a uniform motion problem, how does drawing a diagram of the situation help you?arrow_forward15. Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 10 + 95x- 16x- can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.) O The pumpkin's maximum height is 2.97 feet and it hits the ground after 6.04 seconds. O The pumpkin's maximum height is 151.02 feet and it hits the ground after 6.04 seconds. O The pumpkin's maximum height is 2.97 feet and it hits the ground after 151.02 seconds. O The pumpkin's maximum height is 151.02 feet and it hits the ground after 2.97 seconds.arrow_forward
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