Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Differential Equations
Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…
Question

An alien on another planet throws a ball is thrown into the air. Its height (in feet) after t seconds is given by f(t)=51t−14t^2.

Find the average velocities, Round to 3 decimal places. 

The average velocity between 1.4 and 2.4 seconds, between 3.9 and 4.4 seconds. 

Find the instantaneous velocity at 1 second.

 

Expert Solution
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Step 1

Given that, the function is ft=51t-14t2.

Obtain the average velocity between 1.4 and 2.4 seconds.

fb-fab-a=f2.4-f1.42.4-1.4=512.4-142.42-511.4-141.421=-2.2

Therefore, the average velocity between 1.4 and 2.4 seconds is -2.2.

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