In a medieval siege, trebuchets were sometimes used to launch objects past fortifications. Suppose a trebuchetis set up to launch a boulder towards a 50 foot tall wall at a speed of 64 feet per second. Note that accelerationdue to gravity is approximately -32 feet per second. Can the boulder clear the wall and, assuming it does, howfast is it going when it hits the ground?Note: Treat this problem as you would any other motion problem, you do not need to consider the launchangle.
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 a medieval siege, trebuchets were sometimes used to launch objects past fortifications. Suppose a trebuchet
is set up to launch a boulder towards a 50 foot tall wall at a speed of 64 feet per second. Note that acceleration
due to gravity is approximately -32 feet per second. Can the boulder clear the wall and, assuming it does, how
fast is it going when it hits the ground?
Note: Treat this problem as you would any other motion problem, you do not need to consider the launch
angle.
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