A particle is moving in R2 according to the law x=t^2, y=t^3 (time is measured in seconds, coordinates in meters).
(a) What is the average velocity of the particle over the time interval [1,1.1]?
(b) What is the instantaneous velocity of the particle at time t=1?
when t = 1 , x = 1 and y = 1
when t = 1.1 , x = 1.21 an y = 1.331
distance covered = √(1.21-1)^2 + (1.331-1)) = .391996
average velocity = .391996/.1 = 3.91996