James Bond runs then jumps off a building in a horizontal direction at speed v. He tries to reach the roof of a building nearby, at a distance d = 10 m. (a) That building is 10 m shorter than the one where Bond jumps off. If his speed cannot exceed 10 m/s and his initial velocity is purely horizontal, does he have a chance to make it? If yes, what is his minimum required speed? (b) Consider instead what happens if the building he jumps to has the same height as the one he jumps from but this time he jumps with some initial angle q. If his initial speed is 10 m/s, does he have a chance to make it? If yes, for what range of q is this possible?
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.
James Bond runs then jumps off a building in a horizontal direction at speed v. He tries to reach the roof of a building nearby, at a distance d = 10 m.
(a) That building is 10 m shorter than the one where Bond jumps off. If his speed cannot exceed 10 m/s and his initial velocity is purely horizontal, does he have a chance to make it? If yes, what is his minimum required
speed?
(b) Consider instead what happens if the building he jumps to has the same height as the one he jumps from but this time he jumps with some initial angle q. If his initial speed is 10 m/s, does he have a chance to make it? If yes, for what range of q is this possible?
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