A tennis ball is hit straight up with an initial speed of 20 m/s at t= Os. Here we define the position where the tennis ball is initially hit as yo = Om and upward as +y direction. a)) How long does the ball take to rise to the maximum height? How long does the ball totally take to get back to its initial hit point? b) What is the maximum height does it go? c) Where is the ball located 3s after it is hit? d) Please plot the motion graph of the position y(t), the velocity v(t), as well as the acceleration a(t) for the tennis ball from t = 0 to when it returns to its initial hit point. Please mark on the motion graph the exact values of the time when it reaches to the maximum height and get back to its original hit point, as well as the exact values of x(t), v(t), and a(t) at t = Os, at maximum height, and when it goes back to its initial hit point.
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.
A tennis ball is hit straight up with an initial speed of 20 m/s at t = 0s. Here we define the position where the tennis ball is initially hit as y0 = 0m and upward as +y direction.
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