A ball is thrown from a rooftop with an initial downward velocity of magnitude vo = 2.1 m/s. The rooftop is a distance above the ground, h = 25 m. In this problem use a coordinate system in which upwards is positive. Find the vertical component of the velocity, vfy, in meters per second, with which the ball hits the ground. If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, hnew (in meters), would we need to throw it with the same initial velocity? If the height is fixed at 25 m, but we wanted the ball's final speed to be 32.7 m/s, what would the vertical component of the initial velocity viy need to be, in meters 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.
A ball is thrown from a rooftop with an initial downward velocity of magnitude vo = 2.1 m/s. The rooftop is a distance above the ground, h = 25 m. In this problem use a coordinate system in which upwards is positive.
Find the vertical component of the velocity, vfy, in meters per second, with which the ball hits the ground.
If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, hnew (in meters), would we need to throw it with the same initial velocity?
If the height is fixed at 25 m, but we wanted the ball's final speed to be 32.7 m/s, what would the vertical component of the initial velocity viy need to be, in meters per second?
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