Question

A stone is thrown from the top of the lower with a velocity 10m's at an angle of 30 with horizontal
Stone takes 4 sec to hit the ground. Find the height of the tower and range of stone​

Answer 1

Answer:

ᴄᴏᴠᴀʟᴇɴᴛ ᴄᴏᴍᴘᴏᴜɴᴅs ᴅᴏ ɴᴏᴛ ᴄᴏɴᴅᴜᴄᴛ ᴇʟᴇᴄᴛʀɪᴄɪᴛʏ; ᴛʜɪs ɪs ʙᴇᴄᴀᴜsᴇ ᴄᴏᴠᴀʟᴇɴᴛ ᴄᴏᴍᴘᴏᴜɴᴅs ᴅᴏ ɴᴏᴛ ʜᴀᴠᴇ ᴄʜᴀʀɢᴇᴅ ᴘᴀʀᴛɪᴄʟᴇs ᴄᴀᴘᴀʙʟᴇ ᴏғ ᴛʀᴀɴsᴘᴏʀᴛɪɴɢ ᴇʟᴇᴄᴛʀᴏɴs. ʟᴇᴡɪs ᴛʜᴇᴏʀʏ ᴀʟsᴏ ᴀᴄᴄᴏᴜɴᴛs ғᴏʀ ʙᴏɴᴅ ʟᴇɴɢᴛʜ; ᴛʜᴇ sᴛʀᴏɴɢᴇʀ ᴛʜᴇ ʙᴏɴᴅ ᴀɴᴅ ᴛʜᴇ ᴍᴏʀᴇ ᴇʟᴇᴄᴛʀᴏɴs sʜᴀʀᴇᴅ, ᴛʜᴇ sʜᴏʀᴛᴇʀ ᴛʜᴇ ʙᴏɴᴅ ʟᴇɴɢᴛʜ ɪs.

Answer 2

Answer:

Given V=16m/s, time t=4s. Let height h, and Horizontal range R

Velocity in upward direction Vy =Vsin(30o )=8m/s,

Velocity in horizontal Vx=Vcos(30o)=8√3

In upward direction, Using s=ut+ 2 at ^2

1

⇒h=8×4− 2 ×9.8×4^2 ⇒h=−46.4 , Hence,

1 Height=46.4m,

In horizontal direction, Range=Vx×t⇒R=8

3×4=32√ 3m, Hence Range is 32√3m