Chris stands on top of a giant rock outcrop, 250 feet above the ground. Chris throws a grapefruit upwards, into the air, with initial velocity of 50 feet per second. The grapefruit has a trajectory such that it will fall all the way to the ground. Use calculus to write the equation of the displacement (position) of the grapefruit as a function of time using initial position s = 250 and ground level as position s = 0. Use acceleration a = -32 feet per second per second
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.
Chris stands on top of a giant rock outcrop, 250 feet above the ground.
Chris throws a grapefruit upwards, into the air, with initial velocity of 50 feet per second. The grapefruit has a trajectory such that it will fall all the way to the ground. Use calculus to write the equation of the displacement (position) of the grapefruit as a function of time using initial position s = 250 and ground level as position s = 0. Use acceleration a = -32 feet per second per second
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