A particle moving in a straight line covers half the distance with a speed of `3 m s^(-1)`. The other half of the distance is covered in two equal time intervals with speeds of `4.5 m s^(-1)`, and `7. 5 m s^(-1)`, respectively. Find the average speed of the particle during this motion.

Explanation

Average speed from B to C
`" "(v_("Avg"))_(B to C) = ( 4.5 xx t + 7.5 xx t)/(2t)`
`" "(v_("Avg"))_(B to C) = 6m//s`
Average speed from A to C
`" "(v_("Avg"))_(A to C) = ((S)/(2) + (S)/(2))/((S)/(2 xx3)+ (S)/(2 xx 6))`
`" "(v_("Avg"))_(A to C) = 4 m//s`