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myg21
25.03.2020 •
Mathematics
A hot-air balloon is 160 ftabove the ground when a motorcycle (traveling in a straight line on a horizontal road) passes directly beneath it going 45 mi divided by hr(66 ft divided by s).If the balloon rises vertically at a rate of 14 ft divided by s,what is the rate of change of the distance between the motorcycle and the balloon 7 secondslater?
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Ответ:
73.77 ft/s
Step-by-step explanation:
Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.
-Applying Pythagoras theorem:
#Take the derivative of the first equation and solve for
:
#We then substitute the values given in the question to solve for
:
Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s
Ответ:
1)B 5.007x10 -3
2)B 103,150