Answered

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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.

Sagot :

Answer:

v=0.15 miles per second

Step-by-step 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.

[tex]\dfrac{dd}{dt}=\dfrac{d}{dt}(0.15t)\\\\\because \dfrac{dd}{dt}=\text{velocity(v)}\\\\v=0.15[/tex]

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

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