Dr. L. and his cat Kepler are coming home from fishing. They ended their trip on the south bank of a 1200 m wide river, directly across from where Caroline is waiting to pick them up on the north bank. They are in identical boats that travel at 4 m/s (VB) on still water. The river is normally ‘lazy’ and flows with negligible velocity. On a calm day, if they pointed the boats north, they would cross the river in exactly 300s. However, today, the river is flowing due east with a constant velocity (VW) of 1 m/s relative to the ground. Kepler, because she doesn’t know better (she is a cat after all), has not taken this into account. Without paying attention, Kepler keeps the boat pointed due north for the entire trip. A) After sailing for 300s, how far is Kepler from Caroline? Again, derive an algebraic solution, and then give the numerical result.
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.
Dr. L. and his cat Kepler are coming home from fishing. They ended their trip on the south
bank of a 1200 m wide river, directly across from where Caroline is waiting to pick them up
on the north bank. They are in identical boats that travel at 4 m/s (VB) on still water. The
river is normally ‘lazy’ and flows with negligible velocity. On a calm day, if they pointed the
boats north, they would cross the river in exactly 300s. However, today, the river is flowing
due east with a constant velocity (VW) of 1 m/s relative to the ground. Kepler, because she
doesn’t know better (she is a cat after all), has not taken this into account. Without paying
attention, Kepler keeps the boat pointed due north for the entire trip.
A) After sailing for 300s, how far is Kepler from Caroline? Again, derive an algebraic
solution, and then give the numerical result.
SOLUTION ;FROM GIVEN DATA
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