In an experiment two identical rocks are simultaneously thrown from the edge of a cliff a distance h0h0 above the ground. Rock A is thrown vertically upward with speed v0v0 and rock B is thrown vertically downward with speed v0v0. Rock A and rock B strike the ground at times tAtA and tBtB, respectively. Consider the positive vertical direction to be upward. (a) On the axes given below, sketch and label graphs of the velocity as a function of time for rock A and rock B. Label the time tBtB. Times tAtA and 12tA12tA are given on the graph. (b) Rock B hits the ground at time tBtB. Derive an equation for the time tAtA it takes rock A to hit the ground in terms of v0v0, tBtB, and physical constants, as appropriate.
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.
In an experiment two identical rocks are simultaneously thrown from the edge of a cliff a distance h0h0 above the ground. Rock A is thrown vertically upward with speed v0v0 and rock B is thrown vertically downward with speed v0v0. Rock A and rock B strike the ground at times tAtA and tBtB, respectively. Consider the positive vertical direction to be upward.
(a) On the axes given below, sketch and label graphs of the velocity as a function of time for rock A and rock B. Label the time tBtB. Times tAtA and 12tA12tA are given on the graph.
(b) Rock B hits the ground at time tBtB. Derive an equation for the time tAtA it takes rock A to hit the ground in terms of v0v0, tBtB, and physical constants, as appropriate.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
