4. Assume that a ball rolling up on a slanted surface has its displacement along the surface characterized by the following function: s = 1Ot - 5t. The unit of the displacement is meter and the unit of time is second. (a) What is the velocity of the ball at t = 0? (b) What is the acceleration of the ball as a function of time? (c) What is the largest displacement travelled by the ball UP the surface? (d) At what time will the ball return to its position at t = 0?
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.
![4. Assume that a ball rolling up on a slanted surface has its displacement along the surface
characterized by the following function: s = 1Ot – 5t. The unit of the displacement is meter
and the unit of time is second.
(a) What is the velocity of the ball at t = 0?
(b) What is the acceleration of the ball as a function of time?
(c) What is the largest displacement travelled by the ball UP the surface?
(d) At what time will the ball return to its position at t = 0?
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