A rock is thrown off a cliff at an angle of 59° above the horizontal. The cliff is 135 m high. The initial speed of the rock is 20 m/s. (Assume the height of the thrower is negligible.) (a) How high above the edge of the cliff does the rock rise (in m)? wrong answers are 149.449m and 18.016m (b) How far has it moved horizontally when it is at maximum altitude (in m)? (c) How long after the release does it hit the ground (in s)? (d) What is the range of the rock (in m)? (e)What are the horizontal and vertical positions (in m) of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s? (Assume the +x-direction is in the horizontal direction pointing away from the cliff, the +y-direction is up towards the sky, and x = y = 0 at the point from which the rock is thrown.) x(2.0 s) = m y(2.0 s) = m
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 rock is thrown off a cliff at an angle of 59° above the horizontal. The cliff is 135 m high. The initial speed of the rock is 20 m/s. (Assume the height of the thrower is negligible.)
(a) How high above the edge of the cliff does the rock rise (in m)?
wrong answers are 149.449m and 18.016m
(b) How far has it moved horizontally when it is at maximum altitude (in m)?
(c) How long after the release does it hit the ground (in s)?
(d) What is the range of the rock (in m)?
(e)What are the horizontal and vertical positions (in m) of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?
(Assume the +x-direction is in the horizontal direction pointing away from the cliff, the +y-direction is up towards the sky, and x = y = 0 at the point from which the rock is thrown.)
x(2.0 s) = m
y(2.0 s) = m
x(4.0 s) = m
y(4.0 s) = m
x(6.0 s) = m
y(6.0 s) = m
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