CALC? 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) = 50.0 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 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 those times? (e) Sketch graphs of x versus ?t?, vx versus ?t?, and ax versus ?t?, for the time interval ?t? = 0 to ?t = 40 s.

Solution to 15E Here the equation of the motion is given as cm. Part A Initial velocity, Step 1 cm/s Step 2 cm/s cm/s Since t=0 for initial velocity, u=2m/s Initial acceleration, Step 1 Initial position, Since initially t=0, the initial position =50cm/s Part B We know that Thus V(t)=0 then, t=16s Part C Using second equation of motion, Solving the quadratic equation, We get t=16s t=16s is the time taken to travel one side. If the turtle travels...