Prove that initial velocity an object has when thrown upwards is equal to final velocity when it falls down.
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Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s.
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Mᴜʟᴛɪᴘʟʏ ᴛʜᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴅᴜᴇ ᴛᴏ ɢʀᴀᴠɪᴛʏ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ᴠᴇʟᴏᴄɪᴛʏ ᴡʜᴇɴ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ ʜɪᴛs ᴛʜᴇ ɢʀᴏᴜɴᴅ. Iғ ɪᴛ ᴛᴀᴋᴇs 9.9 sᴇᴄᴏɴᴅs ғᴏʀ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ ᴛᴏ ʜɪᴛ ᴛʜᴇ ɢʀᴏᴜɴᴅ, ɪᴛs ᴠᴇʟᴏᴄɪᴛʏ ɪs(1.01s)*(9.8ᴍ/s²), ᴏʀ 9.9ᴍ/s.
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