A rock thrown vertically upwardfrom the surface of the moon at a velocity of 24 m/sec (about86 km/ h) reaches a height of s = 24t - 0.8t^2 m in t sec.a. Find the rock’s velocity and acceleration at time t. (Theacceleration in this case is the acceleration of gravity on themoon.)b. How long does it take the rock to reach its highest point?c. How high does the rock go?d. How long does it take the rock to reach half its maximumheight?e. How long is the rock aloft?
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 thrown vertically upward
from the surface of the moon at a velocity of 24 m/sec (about
86 km/ h) reaches a height of s = 24t - 0.8t^2 m in t sec.
a. Find the rock’s velocity and acceleration at time t. (The
acceleration in this case is the acceleration of gravity on the
moon.)
b. How long does it take the rock to reach its highest point?
c. How high does the rock go?
d. How long does it take the rock to reach half its maximum
height?
e. How long is the rock aloft?
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Find the rock’s speed when hitting the surface
of the moon.
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