A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle's position as a function of time is x( t) = SO.O cm + (2.00 cm/s)t – (0.0625 cm/s2 )t2.
(a) Find the turtle's initial velocity, initial position, and initial acceleration.
(b) At what time, is the velocity of the turtle zero?
(c) How long after starting docs it take the turtle to return to its starting point?
(d) At what times t is the turtle a distance of 10.0 cm from its starting point? What is the velocity (magnitude and direction) of the turtle at each of these times?
(e) Sketch graphs of x versus t, v. versus t, and a. versus t for the time interval t = 0 to , = 40 s.