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Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?

Answer :

Answer:

The answer is "40 second".

Step-by-step explanation:

Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.

[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]

Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.

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