The function describing the predicted velocity as a function of time, v(t)v(t), for a student-designed prototype two-stage model rocket during a 5.5 ss time interval is given by v(t)=at^3+bt^2+ct, where a=3.0m/s^4, b=−24m/s^3, and c=54m/s^2. Due to ignition rates of the fuel in the two stages and external forces acting on the rocket, the design produces a velocity function that has both a local minimum and a local maximum during the time interval. Determine the times at which v(t)v(t) has a local minimum and maximum. What are the corresponding minimum and maximum velocities that the rocket experiences?
The function describing the predicted velocity as a function of time, v(t)v(t), for a student-designed prototype two-stage model rocket during a 5.5 ss time interval is given by v(t)=at^3+bt^2+ct, where a=3.0m/s^4, b=−24m/s^3, and c=54m/s^2. Due to ignition rates of the fuel in the two stages and external forces acting on the rocket, the design produces a velocity function that has both a local minimum and a local maximum during the time interval. Determine the times at which v(t)v(t) has a local minimum and maximum. What are the corresponding minimum and maximum velocities that the rocket experiences?
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The function describing the predicted velocity as a function of time, v(t)v(t), for a student-designed prototype two-stage model rocket during a 5.5 ss time interval is given by v(t)=at^3+bt^2+ct, where a=3.0m/s^4, b=−24m/s^3, and c=54m/s^2. Due to ignition rates of the fuel in the two stages and external forces acting on the rocket, the design produces a velocity function that has both a local minimum and a local maximum during the time interval.
Determine the times at which v(t)v(t) has a local minimum and maximum.
What are the corresponding minimum and maximum velocities that the rocket experiences?
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