Thursday

January 29, 2015

January 29, 2015

Posted by **matthew** on Friday, December 16, 2011 at 6:17am.

directly over a radar tracking station (on ground). If the distance D between the plane and the radar is

decreasing at a rate of 300 km/hr, find the speed of the plane when D remains 10 km.

- Caculas -
**Damon**, Friday, December 16, 2011 at 8:44amx^2 + h^2 = D^2

solve for x when D = 10 and h = 6

x = 8 (3,4,5 triangle)

2 x dx/dt + 2 h dh/dt = 2 D dD/dt

but dh/dt = 0

so

2 (8)v + 0 = 2 (10) 300

v = 3000/8

**Answer this Question**

**Related Questions**

Airplane & Radar - (Airplane & Radar) An airplane is flying (horizontally) at ...

PRECALCULUS - An airplane is flying at a speed of 250 mph at an altitude of 4 ...

CALCULUS - A plane, flying horizontally at an altitude of 1 km and a speed of ...

Calc - An airplane is flying at a speed of 350 mi/h at an altitude of one mile ...

Math - An airplane is flying at an altitude of 6 miles and passes directly over ...

Calculus - An airplane is flying at a speed of 350 mi/h at an altitude of one ...

calculus - A plane that is flying horizontally at an altitude of 6 kilometers ...

Calc - A plane that is flying horizontally at an altitude of 6 kilometers and a ...

calculus - A plane flying horizontally at an altitude of 1 mi and a speed of 500...

MATH - A plane flying with a constant speed of 24 km/min passes over a ground ...