A lion is at some instant a position `A(2m, 6m ,-1m)` and a goat is at position `B(1 m, 2 m, 8 m)`. The lion is free to move but the goat is unable to move due to some injury . The lion runs towards the goat and reches it in time 2 sec. A verage velocity of the lion can be expreseed as:

Options

A. `(-(hati)/(2) - 2hatj +(9)/(2)hatk)m//s`
B. `((hati)/(2)-2hatj +(5)/(2) hatk)m//s`
C. `(hati - (hatj)/(2)+(hatk)/(2))m//s`
D. `(3hati -(5)/(2)hatj+(7)/(2)hatk)`

Answer

A

Explanation

`(2hati +6hatj- hatk)+(V_(1)hati + V_(2) hatj +V_(3)hatk)xx 2 = hati + 12 hatj + 8hatk`