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) = 50 + 2t −
0.0625t2, where x is in centimeters, and
t in seconds.
(a) Find the turtle’s initial velocity, initial position, and
initial acceleration.
(b) At what time t is the velocity of the turtle zero?
(c) How long after starting does 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?