What do you mean by equation of motion?
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Answer:
ɪɴ ᴘʜʏsɪᴄs, ᴇϙᴜᴀᴛɪᴏɴs ᴏғ ᴍᴏᴛɪᴏɴ ᴀʀᴇ ᴇϙᴜᴀᴛɪᴏɴs ᴛʜᴀᴛ ᴅᴇsᴄʀɪʙᴇ ᴛʜᴇ ʙᴇʜᴀᴠɪᴏʀ ᴏғ ᴀ ᴘʜʏsɪᴄᴀʟ sʏsᴛᴇᴍ ɪɴ ᴛᴇʀᴍs ᴏғ ɪᴛs ᴍᴏᴛɪᴏɴ ᴀs ᴀ ғᴜɴᴄᴛɪᴏɴ ᴏғ ᴛɪᴍᴇ. ... ᴛʜᴇ ғᴜɴᴄᴛɪᴏɴs ᴀʀᴇ ᴅᴇғɪɴᴇᴅ ɪɴ ᴀ ᴇᴜᴄʟɪᴅᴇᴀɴ sᴘᴀᴄᴇ ɪɴ ᴄʟᴀssɪᴄᴀʟ ᴍᴇᴄʜᴀɴɪᴄs, ʙᴜᴛ ᴀʀᴇ ʀᴇᴘʟᴀᴄᴇᴅ ʙʏ ᴄᴜʀᴠᴇᴅ sᴘᴀᴄᴇs ɪɴ ʀᴇʟᴀᴛɪᴠɪᴛʏ.
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Answer:
In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.[1] More specifically, the equations of motion describe the behaviour of a physical system as a set of mathematical functions in terms of dynamic variables. These variables are usually spatial coordinates and time, but may include momentum components. The most general choice are generalized coordinates which can be any convenient variables characteristic of the physical system.[2] The functions are defined in a Euclidean space in classical mechanics, but are replaced by curved spaces in relativity.