Question

CLASS 9TH
MOTION

A particle is moving in north direction from point O. It reaches at point A by moving 8th km in 2hr from point O. After A it moves 6km in East direction in 3hr and reaches point B. Find average velocity and average speed for complete path.

​

Answer 1

❥︎❥︎ANSWER࿐

sᴏʟᴜᴛɪᴏɴ:

sᴘᴇᴇᴅ ᴏғ ᴄᴀʀ ғᴏʀ ғɪʀsᴛ 30 ᴍɪɴᴜᴛᴇs = 30 ᴋᴍ ʜ^{-1}ʜ −1

sᴘᴇᴇᴅ ᴏғ ᴄᴀʀ ғᴏʀ ɴᴇxᴛ 1 ʜᴏᴜʀ = 40 ᴋᴍ ʜ^{-1}ʜ −1

(ᴀ) ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙʏ ᴛʜᴇ ᴄᴀʀ

ғɪʀsᴛ ᴄᴀsᴇ

sᴘᴇᴇᴅ = ᴅɪsᴛᴀɴᴄᴇ / ᴛɪᴍᴇ

ᴅɪsᴛᴀɴᴄᴇ = sᴘᴇᴇᴅ x ᴛɪᴍᴇ

= 30 x 0.5 ---- (30 ᴍɪɴ = 0.5 ʜᴏᴜʀ)

= 15 ᴋᴍ ---- (ɪ)

sᴇᴄᴏɴᴅ ᴄᴀsᴇ

sᴘᴇᴇᴅ = 40 ᴋᴍ ʜ^{-1}ʜ −1

ᴅɪsᴛᴀɴᴄᴇ = 40 ᴋᴍ x 1

= 40 ᴋᴍ ---- (ɪɪ)

ᴀᴅᴅɪɴɢ (ɪ) ᴀɴᴅ (ɪɪ)

ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ = 15 ᴋᴍ + 40 ᴋᴍ

= 55 ᴋᴍ

(ʙ) ᴛᴏᴛᴀʟ ᴛɪᴍᴇ ᴏғ ᴛʀᴀᴠᴇʟ = 0.5 ʜʀ + 1.0 ʜʀ = 1.5 ʜʀ

(ᴄ) ᴀᴠᴇʀᴀɢᴇ sᴘᴇᴇᴅ = ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ/ᴛᴏᴛᴀʟ ᴛɪᴍᴇ ᴛᴀᴋᴇɴ

= 5.5 ᴋᴍ/ 1.5 ʜʀ

= 36.67 ᴋᴍ ʜ^{-1}ʜ −1

Answer 2

I hope you have understood the ans