Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A stone is thrown vertically upward with a velocity of 30 m/sfrom the edge of a cliff 200 m above a river.
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.
Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.
a. Find the velocity of the object for all relevant times.
b. Find the position of the object for all relevant times.
c. Find the time when the object reaches its highest point. What is the height?
d. Find the time when the object strikes the ground.
A stone is thrown vertically upward with a velocity of 30 m/s
from the edge of a cliff 200 m above a river.
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