A car is driving northwest at vv mph across a sloping plain whose height, in feet above sea level, at a point nn miles north and

Question

tino4ka555 [31]

3 years ago

10

A car is driving northwest at vv mph across a sloping plain whose height, in feet above sea level, at a point nn miles north and

ee miles east of a city is given by

Mathematics

1 answer:

solong [7] · Answer 1 · 2022-04-18T22:53:42+03:00

<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.

Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>