Question

A point moves with retardation along a circle of radius R so that at any moment Ram and Shyam are walking on two perpendicular tracks with speeds 3m/s and 4m/s respectively. At a certain moment (say t=0s), Ram and Shyam at 40m and 20m away from the intersection tracks, respectively, and moving towards the intersection of the tracks.



A. Shortest distance between them subsequently is 15m

B. Shortest distance between them subsequently is 20m

C. The time when they are at shortest distance from each other is 8s

D. The time when they are at shortest distance from each other is 9s

Answer 1

Explanation:

ʀᴀᴍ ᴀɴᴅ sʜʏᴀᴍ ᴀʀᴇ ᴡᴀʟᴋɪɴɢ ᴏɴ ᴛᴡᴏ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴛʀᴀᴄᴋs ᴡɪᴛʜ sᴘᴇᴇᴅ $ᴍ{s^{ - }}$ ᴀɴᴅ $ᴍ{s^{ - }}$ ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ. ᴀᴛ ᴀ ᴄᴇʀᴛᴀɪɴ ᴍᴏᴍᴇɴᴛ (sᴀʏ $ᴛ = \sᴇᴄ $) ʀᴀᴍ ᴀɴᴅ sʜʏᴀᴍ ᴀʀᴇ $ᴍ$ ᴀɴᴅ $ᴍ$ ᴀᴡᴀʏ ғʀᴏᴍ ᴛʜᴇ ɪɴᴛᴇʀsᴇᴄᴛɪᴏɴ ᴏғ ᴛʀᴀᴄᴋs ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ ᴀɴᴅ ᴍᴏᴠɪɴɢ ᴛᴏᴡᴀʀᴅs ᴛʜᴇ ɪɴᴛᴇʀsᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴛʀᴀᴄᴋs