Problema Solution

Find a formula for a function f that computes the distance (in miles) between an observer and a lightning bolt when the speed of sound is 1150 feet per second.

Answer provided by our tutors

let 't' represent the time in seconds between the appearance of the lightning bolt and hearing its sound


we ignore any delays introduced by the speed of light


feet per second * seconds = feet

1 mile = 5280 feet


f(t) expresses the distance in miles when 't' is expressed in seconds:

f(t) = (1150 * t) / 5280