We want to find the coefficient of restitution e between the ball and the floor. We will be able to measure the time of flight between subsequent bounces, but not the velocities before and after each impact. Question 1 a. Using the kinematics equation for position, find a relationship between the time of flight tn and the velocity of the ball after the nth bounce. You should obtain a quadratic equation that has two solutions for the time tm, but only one of them represents the time of flight. b. Using the kinematics equation for velocity and the relationship determined in the previous step, find the relationship between the velocity right after the nth bounce and the velocity right before the (n +1)th bounce? c. Given your answers to the previous parts of this question and the definition of €, find the coefficient of restitution e in terms of the subsequent times of flight tn and tr+1.

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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.