Question

a stone is projected verticallyupwards with a velocity of 21m/s from a point 1.5m above the ground level . find the maximum heightnabove the ground reached by the stone

Answer 1

Step-by-step explanation:

ғɪʀsᴛʟʏ, ᴛʜɪs ɪs ɪɴ ᴄʜᴀᴘᴛᴇʀ ᴏғ ʏᴏᴜʀ ᴘʜʏsɪᴄs ᴛᴇsᴛ, sᴏ ʏᴏᴜ ᴍᴀʏ ᴡᴀɴᴛ ᴛᴏ ᴛᴀᴋᴇ ᴀ ʟᴏᴏᴋ ɪғ ʏᴏᴜ ᴡᴀɴᴛ ᴛᴏ ᴘᴀss ᴛʜᴇ ᴄᴏᴜʀsᴇ. ᴛʜᴀᴛ sᴀɪᴅ, ʜᴏᴘᴇғᴜʟʟʏ ɪ ᴄᴀɴ ʜᴇʟᴘ ʙʏ sʜᴏᴡɪɴɢ ᴛʜᴇ ʀᴇᴀsᴏɴɪɴɢ, ɴᴏᴛ ᴊᴜsᴛ ᴛʜᴇ ᴍᴀᴛʜ.

ᴇǫᴜᴀᴛɪᴏɴs ᴏғ ᴍᴏᴛɪᴏɴ ғᴏʀ ᴄᴏɴsᴛᴀɴᴛ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ:

ʏ = ʏɪ + ᴠ*ᴛ + (/)*ᴀ*ᴛ^

ᴠғ = ᴠ + ᴀ*ᴛ

ɢɪᴠᴇɴs:

ᴠғ = ᴍ/s (ᴛʜᴇ ʙᴀʟʟ sᴛᴏᴘs ᴀᴛ ᴛʜᴇ ᴛɪᴍᴇ ɪɴ ǫᴜᴇsᴛɪᴏɴ)

ʏ = ᴍ (ᴏʀ ᴀssᴜᴍᴇ ᴡʜᴀᴛᴇᴠᴇʀ ɪɴɪᴛɪᴀʟ ʜᴇɪɢʜᴛ ʏᴏᴜ ᴡɪsʜ, ᴀɴᴅ ᴀᴅᴅ ᴛᴏ ᴛʜᴇ ғɪɴᴀʟ ᴀɴsᴡᴇʀ)

ᴀ = -. ᴍ/s (ᴡᴇ ᴄᴀɴ ᴀᴅᴅ ᴍᴏʀᴇ sɪɢɴɪғɪᴄᴀɴᴛ ᴅɪɢɪᴛs, ʙᴜᴛ ᴛʜɪs ɪs ᴄʟᴏsᴇ ᴇɴᴏᴜɢʜ)

sᴛʀᴀᴛᴇɢʏ:

ᴛʜɪs ʟᴇᴀᴠᴇs ᴛᴡᴏ ᴇǫᴜᴀᴛɪᴏɴs ᴀɴᴅ ᴛᴡᴏ ᴜɴᴋɴᴏᴡɴs, ʏ ᴀɴᴅ ᴛ.

ᴇǫᴜᴀᴛɪᴏɴ () ᴄᴏɴᴛᴀɪɴs ʙᴏᴛʜ ᴜɴᴋɴᴏᴡɴs, ʙᴜᴛ ᴇǫᴜᴀᴛɪᴏɴ () ᴏɴʟʏ ʜᴀs ᴏɴᴇ ᴏғ ᴛʜᴇsᴇ ᴜɴᴋɴᴏᴡɴs, ᴛ, sᴏ sᴏʟᴠᴇ ᴇǫᴜᴀᴛɪᴏɴ () ғᴏʀ ᴛ, ᴘʟᴜɢ ᴛʜᴀᴛ ᴠᴀʟᴜᴇ ᴏғ ᴛ ɪɴᴛᴏ ᴇǫᴜᴀᴛɪᴏɴ , ᴀɴᴅ sᴏʟᴠᴇ ᴇǫᴜᴀᴛɪᴏɴ ғᴏʀ ʏ, ᴛʜᴇ ʙᴀʟʟ’s ᴍᴀxɪᴍᴜᴍ ʜᴇɪɢʜᴛ:

sᴏʟᴜᴛɪᴏɴ:

)>>> = - .*ᴛ

>>> ᴛ = /. = .

)>>> ʏ = + *. + (/)*(-.)*.^

>>> ʏ = . ᴍ