A ball is thrown vertically upward from a height of 7 ft with an initial velocity of 83 ft/s. The distance s (in feet) of the ball from the ground after t seconds is s = s(t) = 7 + 83t- 16t. (a) What is the velocity v, in feet per second, of the ball after 2 seconds? v(2) = ft/s (b) When, in seconds, will the ball reach its maximum height? (Round your answer to one decimal place.) (c) What is the maximum height, in feet, the ball reaches? (Round your answer to one decimal place.) h 3= ft (d) What is the acceleration a, in feet per second per second, of the ball at any time t? a(t) = ft/s2
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.
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