If a rock is dropped from a height of 39 ft, its poistion t seconds after it is dropped until it hits the ground is given by the function s(t)=-16t sqaured +39 . Round values below to 3 decimal places. How long does it take the rock to hit the ground? seconds Find the average velocity of the rock from when it is released until when it hits the ground. feet per second What time after the rock is thrown will its instantaneous velocity be equal to its average velocity? (Apply the Mean Value Theorem) seconds after it is thrown
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.
If a rock is dropped from a height of 39
ft, its poistion
t seconds after it is dropped until it hits the ground is given by the function s(t)=-16t sqaured +39
.
Round values below to 3 decimal places.
How long does it take the rock to hit the ground?
seconds
Find the average velocity of the rock from when it is released until when it hits the ground.
feet per second
What time after the rock is thrown will its instantaneous velocity be equal to its average velocity? (Apply the Mean Value Theorem)
seconds after it is thrown
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