1) A rock is launched into the air on another planet with a velocity of 25 ft/sec. Its height, in feet after t seconds, is given by 5(1) = 251' 22f2 . a) Find the average velocity of the rock for intervals [2.9, 3], [299,3], [33.01], and [33.1]. Be sure to include units on your answers. b) Based on your answers to part a, estimate the instantaneous velocity of the rock 3 seconds after the ball was thrown. c) Explain what the sign of the value found in part b tells you about the motion of the rock. 2) Consider the function f(x) = (x 1)2 . a) On graph paper, sketch the function f(x) = (x 1)2 and draw in tangent lines at x = 2,0, 1, and 2. +12 b) Find and simplify the difference quotient W. c) Use your answer to part b to nd f'(x). d) Find the values of f'(2),f'(0),f'(1), andf'(2). Explain how these values are related to the tangent lines drawn on your sketch from part a