Vehicle B is stopped at a traffic light. At the instant that the light turns green, vehicle B starts to accelerate at 3 ft/sec2. At this instant, vehicle A is 300 feet behind vehicle B, traveling at a constant speed of 45 ft/sec. a) At what distance past the light will vehicle A overtake vehicle B? b) At what distance past the light will vehicle B overtake vehicle A? c) Sketch the x-t, v-t, and a-t curves for both vehicles.
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.
Vehicle B is stopped at a traffic light. At the instant that the light turns green, vehicle B starts to accelerate at 3 ft/sec2. At this instant, vehicle A is 300 feet behind vehicle B, traveling at a constant speed of 45 ft/sec.
a) At what distance past the light will vehicle A overtake vehicle B?
b) At what distance past the light will vehicle B overtake vehicle A?
c) Sketch the x-t, v-t, and a-t curves for both vehicles.
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