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 4.2 m/s2 for 6.5s , after which the gazelle continues at a steady speed.
a) What is the gazelle’s top speed?
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?
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?