A commuter train travels between two downtown stations. Because the stations areonly 1.00 km apart, the train never reaches its maximum possible cruising speed.During rush hour the engineer minimizes the time interval Δt between two stations byaccelerating at a rate = 0.100 m/s2for a time interval Δt1 and then immediately brakingwith acceleration = —0.500 m/s2for a time interval Δt2. Find the minimum timeinterval of travel Δt and the time interval Δt1
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.
A commuter train travels between two downtown stations. Because the stations are
only 1.00 km apart, the train never reaches its maximum possible cruising speed.
During rush hour the engineer minimizes the time interval Δt between two stations by
accelerating at a rate = 0.100 m/s
2
for a time interval Δt1 and then immediately braking
with acceleration = —0.500 m/s
2
for a time interval Δt2
. Find the minimum time
interval of travel Δt and the time interval Δt1
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