You throw a small rock straight up from the edge of the roof of a building. The rock travels upward to a maximum height 20 m above the ground in a time t, misses the edge of the roof on its way down, and reaches the ground in a time T after it was thrown. Neglect air resistance and take g = 10 m/s2. Find the time t if the total time the rock is in the air is three times the time it takes it to reach its maximum height, i.e. if T = 3t.
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.
You throw a small rock straight up from the edge of the roof of a building. The rock travels upward to a maximum height 20 m above the ground in a time t, misses the edge of the roof on its way down, and reaches the ground in a time T after it was thrown. Neglect air resistance and take g = 10 m/s2. Find the time t if the total time the rock is in the air is three times the time it takes it to reach its maximum height, i.e. if T = 3t.
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