A stone is thrown from the top of a building and given an initial velocity of 17.0 m/s straight upward. The building is 25.0 m high, and the stone just misses the edge of the roof on its way down. Using t1 = 0 as the time the marble leaves the thrower’s hand, determine: a) the time at which the stone reaches its maximum height, and b) the velocity and position of the marble at t = 4.00 s.
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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1. A stone is thrown from the top of a building and given an initial velocity of 17.0 m/s straight upward. The building is 25.0 m high, and the stone just misses the edge of the roof on its way down. Using t1 = 0 as the time the marble leaves the thrower’s hand, determine:
a) the time at which the stone reaches its maximum height, and
b) the velocity and position of the marble at t = 4.00 s.
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