DETAILS An intercity passenger train travels between two stations. Because the stations are only 1.26 km apart, the vehicle never reaches its maximum possible cruising speed. During rush hour the operator minimizes the travel interval At between the two stations by accelerating for a time interval At, at a₁ = 0.100 m/s² and then immediately braking with acceleration a₂ = -0.410 m/s2 for a time interval At₂ (a) Find the time interval At, (in s). At₁ = S (b) Find the the total travel time At (in s). At = Submit Answer MY NOTES
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.
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An intercity passenger train travels between two stations. Because the stations are only 1.26 km apart, the vehicle never reaches its maximum possible cruising speed. During rush hour the operator minimizes the travel interval At between the
two stations by accelerating for a time interval At₁ at a₁ = 0.100 m/s² and then immediately braking with acceleration a -0.410 m/s² for a time interval At₂.
(a) Find the time interval At₁ (in s).
At₁ =
S
(b) Find the the total travel time At (in s).
At =
S
Submit Answer
MY NOTES
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