Solve the each part of given question:
Question: A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2m/s2 for 6.5 s, after which the gazelle CONTINUES at a steady speed.
Part A: What is the gazelle's top speed?
Part B: A human would win a very short race with a gazelle. The best time for a 30 m sprint for a human runner is 3.6 s. How much time would the gazelle take for a 30 m race?
Part C: A gazelle would win a longer race. The best time for a 200 m sprint for a human runner is 19.3 s. How much time would the gazelle take for a 200 m race?
Please explain the equations and steps are used to get the answer. Thanks!