A stone is thrown vertically upward from the top of a building. If the equation of the motion of the stone is s=-5t^2+30t+200, where s is the directed distance from the ground in meters and t is in seconds. a. What is the height of the building? b. What is the average velocity in the time interval [1,3] c. What is the instantaneous velocity at time t=1? d. At what time will be the stone hit the ground?
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 stone is thrown vertically upward from the top of a building. If the equation of the motion of the stone is s=-5t^2+30t+200, where s is the directed distance from the ground in meters and t is in seconds.
a. What is the height of the building?
b. What is the average velocity in the time interval [1,3]
c. What is the instantaneous velocity at time t=1?
d. At what time will be the stone hit the ground?
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 8 images
