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Calc AB AP Test Review Question

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After meeting up for a chat and a cup of refreshing blue milk, the mandalorian and his new friend, Ahsoka Tano part ways, The mandalorian hears die north at a speed of 40 meters per minute. Ahsoka Tano heads due east at a speed of 30 meters per minute. How fast is the straight distance between them change in 5 minutes later?

 Dec 7, 2020

3+0 Answers

 #1
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Pythagorean theorem

 

(40(5))2   +  (30(5))2  = distance 2     (NOTE : distance 2 )

 Dec 7, 2020
 #2
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pretty sure this quuestion is asking for a rate and not a set distance. "how fast is the straight distance between then changing five minutes later?"

BLANK  Dec 7, 2020
 #3
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Picking up from guest...

at 5 minutes     y = 40 (5) = 200 meters        x = 30(5) = 150 meters       h = 250   (via pythagorean)

 

x^2 + y^2 = h^2   

     2x dx/dt       +   2y dy/dt   = 2h dh/dt

2(150) (30)  +   2(200)(40)   = 2(250) dh/dt

dh/dt = 50 m/sec                                                   (NOT positive !)

 Dec 7, 2020

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