Question

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15t. How fast is it flying? Be sure to include the units.

Answer 1

v=0.15 miles per second

Explanation:

The distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15t.

We need to find how fast is it flying.

Differentiate the given equation wrt t.

`(dd)/(dt)=(d)/(dt)(0.15t)\\\\\because (dd)/(dt)=\text{velocity(v)}\\\\v=0.15`

It means the velocity of the airplane is 0.15 miles per second.