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
Answers
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