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An airplane is flying at a speed of 390 mi/h at an altitude of one mile and passes directly over a radar station at time t = 0. Express the distance s between the plane and the radar station as a function of d, the distance the plane has flown, in miles.

2007-08-26 08:08:57 · 2 answers · asked by Anonymous in Science & Mathematics Physics

2 answers

s = sqrt [d^2 +1]

pythagorean theorem
as asked speed and time are irrelevant data

d = 0.108 t mi
where t is given in seconds

2007-08-26 08:21:23 · answer #1 · answered by James L 7 · 1 0

convert your mile per hour to miles per second by dividing by 3600.

You are making a triangle with the vertical component of 1 mile at the start. The plane's velocity is making the horizontal component at it's rate in miles per second. The distance from the tower is the hypotenuse.

So at any given time in seconds after passing the distance from plane to tower would be: 1^2 + (time*velocity)^2 = distance^2.

..

2007-08-26 15:23:55 · answer #2 · answered by muddypuppyuk 5 · 0 0

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