Small-plane pilots regularly compete in “message drop” competitions, dropping heavy weights (for which air resistance can be ignored) from their low-flying planes and scoring points for having the weights land close to a target. A plane 60 m above the ground is flying directly toward a target at 45 m/s. a. At what distance from the target should the pilot drop the weight? b. The pilot looks down at the weight after she drops it. Where is the plane located at the instant the weight hits the ground—not yet over the target, directly over the target, or past the target?
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.
Small-plane pilots regularly compete in “message drop” competitions, dropping heavy weights (for which air resistance can be ignored) from their
low-flying planes and scoring points for having the weights land close to a target. A plane 60 m above the ground is flying directly toward a target at 45 m/s.
a. At what distance from the target should the pilot drop the weight?
b. The pilot looks down at the weight after she drops it. Where is the plane located at the instant the weight hits the ground—not yet over the target, directly over the target, or past the target?
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