Need Help?Read I O 1/2 points | Previous Answers SerPSE10 2.3.OP007 A gazelle an

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Need Help?Read I O 1/2 points | Previous Answers SerPSE10 2.3.OP007 A gazelle and a mouse participate in a race over a 1.60 km long course. The gazelle travels at a speed of 17.0 m/s and the mouse 3.90 m/s. The gazelle runs for 1.280 km and then stops to tease the slow-moving mouse, which eventually passes by. Th can do gazelle waits for a while after the mouse passes and then runs toward the finish line. Both animals cross the finish exact same line at the instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far (in m) is the mouse from the finish line when the gazelle resumes the race? (b) For how long in time (in s) was the gazelle stationary? 19 We need to find the time between when the faster animal stops and then resumes the rac We know the distance and speed the faster animal travels before stopping and hence can find the t We know the distance and speed the slower animal travels before the faster animal resumes the race and hence can find the time t. The time of interest is Attt Need Help?Readit My Notes. Ask Your Teac 10. 2/3 points | Previous SerPSE10 2.3.P006

Explanation / Answer

Time taken by gazelle to cover a distance of 1.28km = 1280 m is:

t = 1280/17 = 75.294 s.

and time taken by the mouse to cover the entire length is: t = 1600/3.9 = 410.256s

this must also be the time in which the gazelle covers the same distance.

410.256 = 75.294 + t' + (1600-1280)/17

=> t' = 316.14s

this is the time for which the gazelle is resting.

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