The height s (in feet) at time t (in seconds) of a ball thrown upward from the top of a 192 foot building with and initial velocity of 64 feet per second is given by the function: s(t)=-morning 16t^2+64t+192 a)Find the instantaneous velocities when t = 1 and t = 3. Write your conclusions as complete sentences on the lines provided. b)How long will it take the ball to hit the ground? Write your answer in a complete sentence on the lines provided. c)Find the velocity of the ball when it hits the ground. Write your conclusion in a complete sentence on the lines provided.
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.
The height s (in feet) at time t (in seconds) of a ball thrown upward from the top of a 192 foot building with and initial velocity of 64 feet per second is given by the function:
s(t)=-morning 16t^2+64t+192
a)Find the instantaneous velocities when t = 1 and t = 3. Write your conclusions as complete sentences on the lines provided.
b)How long will it take the ball to hit the ground? Write your answer in a complete sentence on the lines provided.
c)Find the velocity of the ball when it hits the ground. Write your conclusion in a complete sentence on the lines provided.
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