Velocity functions A projectile is fired vertically upward intothe air, and its position (in feet) above the ground after t seconds isgiven by the function s(t)a. For the following functions s(t)and the instantaneous velocityfunction v(t)Recall that the velocity function v is the derivative ofthe position function s.)b. Determine the instantaneous velocity of the projectile at t = 1 andt = 2 seconds s(t) = -16t2 + 128t + 192
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.
Velocity functions A projectile is fired vertically upward into
the air, and its position (in feet) above the ground after t seconds is
given by the function s(t)
a. For the following functions s(t)and the instantaneous velocity
function v(t)Recall that the velocity function v is the derivative of
the position function s.)
b. Determine the instantaneous velocity of the projectile at t = 1 and
t = 2 seconds s(t) = -16t2 + 128t + 192
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