PRE-CALCDetermine when 2x^3 + 3x^2 – 17x - 30 < 0 using a sign chart.
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It looks like the differential equation is
Factorize the right side by grouping.
Now we can separate variables as
Integrate both sides.
You could go on to solve for explicitly as a function of
, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.
Acceleration is the change in velocity with respect to the time. The acceleration of the car at segment C is -30 meter per second squared. Hence the option B is the correct option.
<h3>Given information-</h3>Segment A runs from 0 seconds 0 meters per second to 1 seconds 30 meters per second.
Segment B runs to 3 seconds 30 meters per second.
Segment C runs to 6 seconds 10 meters per second.
Segment D runs to 7 seconds 10 meters per second.
Segment E runs to 10 seconds 20 meters per second.
<h3>Acceleration</h3>Acceleration is the change in velocity with respect to the time. Acceleration of a vector quantity which means it has both magnitude and the direction. It can be given as,
Here denotes the time and
denotes the velocity of the body.
Acceleration at segment C,
Thus the acceleration of the car at segment C is -30 meter per second squared. Hence the option B is the correct option.
Learn more about the acceleration here;