Along a vertical oily part a monkey rises for the first 3 s and then slips down for the next 3 s. The velocity of the monkey is given as v(t) = 2t(3-t), when 0 lt t lt 3 and v (t) = -(t-3)(6-t), when 3 lt t lt 6 Find (i) the average speed of the monkey (ii) time at which its speed is maximum.

Along a vertical oily part a monkey rises for the first 3 s and then s

1.	Along a vertical oily part a monkey rises for the first 3 s and then slips down for the next 3 s. The velocity of the monkey is given as v(t) = 2t(3-t), when 0 lt t lt 3 and v (t) = -(t-3)(6-t), when 3 lt t lt 6 Find (i) the average speed of the monkey (ii) time at which its speed is maximum.
Answer» ANSWER :`(9)/(4) "m//s"; (3)/(2)s`