Post a New Question

Calculus

posted by on .

A hot-air balloon is 180 ft above the ground when a motorcycle passes directly beneath it (travelling in a straight line on a horizontal road) going at a constant speed of 60 ft/s. If the balloon is rising vertically at a rate of 15 ft/s, what is the rate of change of the distance between the motorcycle and the balloon 20 seconds after the motorcycle was directly beneath the balloon.

  • Calculus - ,

    draw the figure, a right triangle. figure out distances after 20seconds.

    let horizontal distance be x, height be h, and d the slant distance.

    d^2=h^2+x^2

    2d dd/dt= 2h dh/dt+2x dx/dt

    solve for dd/dt, you know all else.

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question