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?
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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