Romeo is at x = 0 at t = 0 when he sees Juliet at x = 6m. (a) He begins to run towards her at v = 5m/s. She in turn begins to accelerate towards him at a = −2m/s2. When and where will they cross? Sketch their motions measuring time horizontally and position vertically. (b) Suppose instead she moved away from him with positive acceleration. Find amax the maximum acceleration for which he will ever catch up with her. For this case find the time of their contact. Draw a sketch for this case
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.
Romeo is at x = 0 at t = 0 when he sees Juliet at x = 6m.
(a) He begins to run towards her at v = 5m/s. She in turn begins to accelerate towards him at a = −2m/s2. When and where will they cross? Sketch their motions measuring time horizontally and position vertically.
(b) Suppose instead she moved away from him with positive acceleration. Find amax the maximum acceleration for which he will ever catch up with her. For this case find the time of their contact. Draw a sketch for this case
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