The height (in meters) of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of 25.5 m/s is h = 3 + 25.5t − 4.9t2 after t seconds. (a) Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) =____ m/s v(4) = ____m/s (b) When does the projectile reach its maximum height? (Round your answer to two decimal places.) ____seconds (c) What is the maximum height? (Round your answer to two decimal places.) _____meters (d) When does it hit the ground? (Round your answer to two decimal places.) ____seconds (e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.) _______m/s
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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