A model rocket is fired from the roof of a 50 ft. tall building as shown in the figure below. The height of the rocket is given by: y(t) = 150t - 16.1t2+ 50ft Find the following. a) The velocity v(t) = dy/dt as well as the initial velocity v0 = v(0) b) The acceleration a(t) = dv/dt c) The time required to reach the maximum height as well as the corresponding height ymax
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.
A model rocket is fired from the roof of a 50 ft. tall building as shown in the figure below. The height of the rocket is given by:
y(t) = 150t - 16.1t2+ 50ft
Find the following.
a) The velocity v(t) = dy/dt as well as the initial velocity v0 = v(0)
b) The acceleration a(t) = dv/dt
c) The time required to reach the maximum height as well as the corresponding height ymax
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