A ball is launched from the top of a 50 foot building with an initial upward velocity of 100 ft/sec. The ball’s height above the ground t seconds after launch is s(t) = 100t−16t^2 + 50. (a) What is the average velocity of the ball during its first four seconds in flight? (b) What is the instantaneous velocity at t = 4? (c) What is the instantaneous speed at t = 4?
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 ball is launched from the top of a 50 foot building with an initial upward velocity
of 100 ft/sec. The ball’s height above the ground t seconds after launch is s(t) =
100t−16t^2 + 50.
(a) What is the average velocity of the ball during its first four seconds in flight?
(b) What is the instantaneous velocity at t = 4?
(c) What is the instantaneous speed at t = 4?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
