Car A is traveling at 65 km/h when it enters a 50 km/h speed zone. The driver of car A decelerates at a rate of 20 m/s2 until reaching a speed of 50 km/h, which she then maintains. When car B, which was initially 20 m behind car A and traveling at a constant speed of 70 km/h, enters the speed zone, its driver decelerates at a rate of 25 m/s2 until reaching a speed of 48 km/h. Knowing that the driver of car B maintains a speed of 48 km/h, determine a) the closest that car B comes to ca A, b) the time at which car A is 25 m in front of car B.
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.
Car A is traveling at 65 km/h when it enters a 50 km/h speed zone. The driver of car A decelerates at a rate of 20 m/s2 until reaching a speed of 50 km/h, which she then maintains. When car B, which was initially 20 m behind car A and traveling at a constant speed of 70 km/h, enters the speed zone, its driver decelerates at a rate of 25 m/s2 until reaching a speed of 48 km/h. Knowing that the driver of car B maintains a speed of 48 km/h, determine a) the closest that car B comes to ca A, b) the time at which car A is 25 m in front of car B.
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