Question

what is the diffrens between average velocity and instant velocity?
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Answer 1

Answer:

The instantaneous velocity is the specific rate of change of position (or displacement) with respect to time at a single point (x,t) , while average velocity is the average rate of change of position (or displacement) with respect to time over an interval.

Answer 2

Question:-

ᴡʜᴀᴛ ɪs ᴛʜᴇ ᴅɪғғʀᴇɴs ʙᴇᴛᴡᴇᴇɴ ᴀᴠᴇʀᴀɢᴇ ᴠᴇʟᴏᴄɪᴛʏ ᴀɴᴅ ɪɴsᴛᴀɴᴛ ᴠᴇʟᴏᴄɪᴛʏ?

Solution:-

Average velocity:-

Aᴠᴇʀᴀɢᴇ ᴠᴇʟᴏᴄɪᴛʏ ɪs ᴍᴏʀᴇ ᴏғ ᴀɴ “ɪᴍᴀɢɪɴᴀʀʏ” ᴠᴇʟᴏᴄɪᴛʏ. Fᴏʀ ᴀ ᴘᴀʀᴛɪᴄᴜʟᴀʀ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ ᴀɴᴅ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴛɪᴍᴇ ᴀᴄᴛᴜᴀʟʟʏ ᴛᴀᴋᴇɴ ᴛᴏ ɢᴇᴛ ғʀᴏᴍ ᴘᴏɪɴᴛ A ᴛᴏ ᴘᴏɪɴᴛ B ɪғ ᴛʜᴇ ᴘᴀʀᴛɪᴄʟᴇ ᴡᴏᴜʟᴅ ʜᴀᴠᴇ ᴛʀᴀᴠᴇʟᴇᴅ ᴀᴛ ᴏɴᴇ ᴠᴇʟᴏᴄɪᴛʏ ᴛʜʀᴏᴜɢʜᴏᴜᴛ (ɪ.ᴇ. ɪғ ᴛʜᴇ ᴍᴏᴛɪᴏɴ ᴡᴏᴜʟᴅ ʜᴀᴠᴇ ʙᴇᴇɴ ᴜɴɪғᴏʀᴍ) ᴛʜᴇɴ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴛʜᴀᴛ ᴠᴇʟᴏᴄɪᴛʏ ɪs ᴇϙᴜᴀʟ ᴛᴏ ᴛʜᴇ ᴀᴠᴇʀᴀɢᴇ ᴠᴇʟᴏᴄɪᴛʏ.

Thus,

$average \: \: velocity \: = \frac{displacement}{totaltimetaken}$

Instantaneous velocity:-

Iɴsᴛᴀɴᴛᴀɴᴇᴏᴜs ᴠᴇʟᴏᴄɪᴛʏ ɪs ᴛʜᴇ ᴠᴇʟᴏᴄɪᴛʏ ᴀᴛ ᴀ ᴘᴀʀᴛɪᴄᴜʟᴀʀ ɪɴsᴛᴀɴᴛ ᴏғ ᴛɪᴍᴇ. Tʜᴜs, ɪғ ʏᴏᴜ ᴅʀᴀᴡ ᴀ ᴠᴇʟᴏᴄɪᴛʏ ᴛɪᴍᴇ ɢʀᴀᴘʜ, ᴀᴛ ᴇᴠᴇʀʏ ɪɴsᴛᴀɴᴛ ᴏғ ᴛɪᴍᴇ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴠᴇʟᴏᴄɪᴛʏ ᴡᴏᴜʟᴅ ʙᴇ ᴛʜᴇ ɪɴsᴛᴀɴᴛᴀɴᴇᴏᴜs ᴠᴇʟᴏᴄɪᴛʏ. Sᴏ, ɪɴsᴛᴀɴᴛᴀɴᴇᴏᴜs ᴠᴇʟᴏᴄɪᴛʏ ɢɪᴠᴇs ʏᴏᴜ ᴛʜᴇ ᴛʀᴜᴇʀ ɪᴅᴇᴀ ᴏғ ᴀ ᴘᴀʀᴛɪᴄʟᴇ’s ᴍᴏᴛɪᴏɴ.