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/s 2 for 6.5 s, 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 200m sprint for a human runner is 19.3 s. How much time would the gazelle take for a 200m race?
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/s 2 for 6.5 s, 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 200m sprint for a human runner is 19.3 s. How much time would the gazelle take for a 200m race?
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 6.5 s, 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 200m sprint for a human runner is 19.3 s. How much time would the gazelle take for a 200m race?
In a car crash, large accelerations of the head can lead to severe injuries or even death. A driver can probably survive an acceleration of 50g that lasts for less than 30 ms, but in a crash with a 50g acceleration lasting longer than 30 ms, a driver is unlikely to survive. Imagine a collision in which a driver’s head experienced a 50g acceleration.a. What is the highest speed that the car could have had such that the driver survived?b. What is the shortest survivable distance over which the driver’s head could have come to rest?
A kangaroo can jump over an object 2.7 m high.
a. Calculate its vertical speed when it leaves the ground, in meters per second.
b. How many seconds is it in the air?
A. The velocity of a car increases from +2.0 m/s to +16.0 m/s in a time period of 3.5 s. What was the average acceleration?
B. If an automobile slows from +26 m/s to +18 m/s in a period of 4.0 s, what was the average acceleration?
Chapter 2 Solutions
College Physics: A Strategic Approach (3rd Edition)
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