1. A boulder rolls over a 50m high cliff. How fast was the boulder moving if it was found 180 m on the ground? At what time did the boulder hit the ground? At what velocity was it approaching the ground?
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.
1. A boulder rolls over a 50m high cliff. How fast was the boulder moving if it was found 180
m on the ground? At what time did the boulder hit the ground? At what velocity was it
approaching the ground?
2. A baseball is hit at a velocity of 100fps at an angle 20degree above the horizontal. Will the ball
hit a fence 20ft high and 200ft away from the batter’s plate? How far will the ball land
from the fence?
3. In a game war, one team sets base on a cliff 15m high and 60m away from the
opponent’s base. At what velocity must the attack be launched so that the lower base
will be hit? The initial launch is at 20 degrees below the horizontal?
4. Graph the trajectory of a particle for every 1 sec, if it is moving at an initial velocity of 25
m/s from a height of 20 m, if (a) it is launched horizontally, (b) it is launched 15degree above
the horizontal, and (c) it is launched 10 degree below the horizontal. Mark the highest point it
reaches, and its maximum horizontal displacements.
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