A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.00 s later. You may ignore air resistance. I. If the height of the building is 20.3 s, what must the initial speed be of the first ball if both are to hit the ground at the same time? (Express your answer in meters per second) II. Consider the same situation, but now let the initial speed v0 of the first ball be given and treat the height h of the building as an unknown. What must the height of the building be for both balls to reach the ground at the same time for V0 = 8.70 m/s. (Express your answer in meters.) III. If V0 is greater than some value Vmax, a value of h does not exist that allows both balls to hit the ground at the same time. Solve for Vmax. (Express your answer 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 straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.00 s later. You may ignore air resistance.
I. If the height of the building is 20.3 s, what must the initial speed be of the first ball if both are to hit the ground at the same time? (Express your answer in meters per second)
II. Consider the same situation, but now let the initial speed v0 of the first ball be given and treat the height h of the building as an unknown. What must the height of the building be for both balls to reach the ground at the same time for V0 = 8.70 m/s. (Express your answer in meters.)
III. If V0 is greater than some value Vmax, a value of h does not exist that allows both balls to hit the ground at the same time. Solve for Vmax. (Express your answer in meters per second)
IV. If V0 is less than some value Vmin, a value of h does not exist that allows both balls to hit the ground at the same time. Solve for Vmin. (Express your answer in meters per second.)
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