In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a straightaway at 66.0 m/s. The driver of the Thunderbird realizes that she must make a pit stop, and she smoothly slows to a stop over a distance of 250 m. She spends 5.00 s in the pit and then accelerates out, reaching her previous speed of 66.0 m/s after a distance of 360 m. At this point how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a constant speed?
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.
In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a straightaway at 66.0 m/s. The driver of the Thunderbird realizes that she must make a pit stop, and she smoothly slows to a stop over a distance of 250 m. She spends 5.00 s in the pit and then accelerates out, reaching her previous speed of 66.0 m/s after a distance of 360 m. At this point how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a constant speed?
Given data
The speed of the thunderbird is St = 66 m/s
The speed of the Mercedes Benz is Sm = 66 m/s
The initial distance covered by the thunderbird is Di_t = 250 m
The time spent in the pit stop is ts = 5 s
The distance moved by the thunderbird to reach the same previous speed is Dt_f = 360 m
The distance moved by the Mercedes Benz is Dm_f = 360 m
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