Flying Leap of the Flea High-peed motion pictures (3500 frames/second) of a jumping, 21O-l-'g Ilea yielded the data used to plot the graph given in Fig. 2.42. (See "The Flying Leap of the Flea" by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American) This flea was about 2 mm long and jumped at a nearly vertical take-off angle. Use the graph to answer the questions.
(a) Is the acceleration of the flea ever zero? If so when? Justify your answer.
(b) Find the maximum height the flea reached in the first 2.5 ms.
(c) Find the flea's acceleration at 0.5 ms, 1.0 ms, and 1.5 ms.
(d) Find the flea's height at 0.5 ms, 1.0 ms, and 1.5 ms.