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?

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?

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Question

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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