3. You are watching a fancy celebration which includes fireworks. These are shot from a movable platform standing at a height of 30 m above ground. They are shot straight upwards, and reach a maximum altitude of 150 m from the platform. Accidentally, one of the fireworks does not explode and falls back to the ground, nearly missing the platform. You can assume the trajectory to be perfectly vertical. You may ignore air resistance. Take the magnitude of g to be 9.8 m/s². a. Draw a sketch of the situation, labeling the height of the platform, the initial velocity of the maximum elevation of the firework, the (unknown) initial velocity of the firework, and the (unknown) velocity of the firework just before it hits the ground. b. What is the velocity of the firework at the peak of its trajectory? c. How long does it take the firework to reach the peak of its trajectory? d. What is the initial velocity of the firework?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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3. You are watching a fancy celebration which includes fireworks. These
are shot from a movable platform standing at a height of 30 m above
ground. They are shot straight upwards, and reach a maximum altitude
of 150 m from the platform. Accidentally, one of the fireworks does not
explode and falls back to the ground, nearly missing the platform.
You can assume the trajectory to be perfectly vertical. You may ignore
air resistance. Take the magnitude of g to be 9.8 m/s².
a. Draw a sketch of the situation, labeling the height of the platform, the
initial velocity of the maximum elevation of the firework, the
(unknown) initial velocity of the firework, and the (unknown) velocity
of the firework just before it hits the ground.
b. What is the velocity of the firework at the peak of its trajectory?
c. How long does it take the firework to reach the peak of its trajectory?
d. What is the initial velocity of the firework?
e. What is the total time that the firework spends in the air?
f. What is the velocity of the firework (magnitude and direction) as it hits
the ground?
g. Prove that the following equation is true for a linear motion with
constant acceleration. v² =
+2a(s-50)
Hint: You can derive it from two other well known equations.
Transcribed Image Text:3. You are watching a fancy celebration which includes fireworks. These are shot from a movable platform standing at a height of 30 m above ground. They are shot straight upwards, and reach a maximum altitude of 150 m from the platform. Accidentally, one of the fireworks does not explode and falls back to the ground, nearly missing the platform. You can assume the trajectory to be perfectly vertical. You may ignore air resistance. Take the magnitude of g to be 9.8 m/s². a. Draw a sketch of the situation, labeling the height of the platform, the initial velocity of the maximum elevation of the firework, the (unknown) initial velocity of the firework, and the (unknown) velocity of the firework just before it hits the ground. b. What is the velocity of the firework at the peak of its trajectory? c. How long does it take the firework to reach the peak of its trajectory? d. What is the initial velocity of the firework? e. What is the total time that the firework spends in the air? f. What is the velocity of the firework (magnitude and direction) as it hits the ground? g. Prove that the following equation is true for a linear motion with constant acceleration. v² = +2a(s-50) Hint: You can derive it from two other well known equations.
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