I drop a ball (from rest) from the fourth floor of a building (at height 4h above the ground). After the ball has fallen a distance d, my friend drops a second ball (again from rest) from the first floor (at height h). Assume that there is enough horizontal separation between the two balls that they do not collide. a) What should d be, in terms of h, so that both balls hit the ground at the same time? b) Assuming that the ground simply reverses the direction of the velocity vector of a ball hitting the ground, plot the vertical distance between the two balls as a function of time (after they have hit the ground at the same time). In particular, at what time are the two balls at the same height? What is the maximum distance between the two balls?
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.
I drop a ball (from rest) from the fourth floor of a building (at height 4h above the ground). After the ball has fallen a distance d, my friend drops a second ball (again from rest) from the first floor (at height h). Assume that there is enough horizontal separation between the two balls that they do not collide.
a) What should d be, in terms of h, so that both balls hit the ground at the same time?
b) Assuming that the ground simply reverses the direction of the velocity vector of a ball hitting the ground, plot the vertical distance between the two balls as a function of time (after they have hit the ground at the same time). In particular, at what time are the two balls at the same height? What is the maximum distance between the two balls?
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