You throw a ball from the balcony onto a basketball court. You release the ball at a height of 7 m with an initial velocity of 9 m/s 33 degrees above the horizontal. A friend is on the court 11 m from the point directly below you. She waits for a period of time then begins to move directly away from you at an acceleration of 1.8 m/s2. If you throw the ball in line with her, how long must she wait so that she can catch the ball at exactly 1 m above the floor of the court?
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 ball from the balcony onto a basketball court. You release the ball at a height of 7 m with an initial velocity of 9 m/s 33 degrees above the horizontal. A friend is on the court 11 m from the point directly below you. She waits for a period of time then begins to move directly away from you at an acceleration of 1.8 m/s2. If you throw the ball in line with her, how long must she wait so that she can catch the ball at exactly 1 m above the floor of the court?
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