A ball falls freely from rest with an acceleration g. The variation with time t of its displacement s is given by s=1/2gt2. The percentage uncertainty in the value of t is ±3% and that in the value of g is ±2%. Calculate the percentage uncertainty in the value of s.
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 ball falls freely from rest with an acceleration g. The variation with time t of its displacement s is given by s=1/2gt2. The percentage uncertainty in the value of t is ±3% and that in the value of g is ±2%.
Calculate the percentage uncertainty in the value of s.
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