I need help with a math question: Given that x = position, v = velocity, a = acceleration, m = mass. Which of the following will have units of kg * m/s^2 and why? m ∫ a dt m ∫ v dt 1/2m dv^2/dx m ∫ x dt 1/2m dv^2/dt m dx/dt m dv/dt m da/dt 1/2m ∫ v^2 dt I am including an image/reference table. Thanks!
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.
I need help with a math question:
Given that x = position, v = velocity, a = acceleration, m = mass. Which of the following will have units of kg * m/s^2 and why?
m ∫ a dt
m ∫ v dt
1/2m dv^2/dx
m ∫ x dt
1/2m dv^2/dt
m dx/dt
m dv/dt
m da/dt
1/2m ∫ v^2 dt
I am including an image/reference table. Thanks!
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