Average Velocity of a Rocket Launch: Calculating Magnitude and Time

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SUMMARY

The discussion focuses on calculating the average velocity of a rocket during two specific time intervals after launch. For the first interval of 1.35 seconds, the average velocity is determined to be 34.81 m/s, calculated using the formula for average velocity as the change in position divided by the time duration. For the second interval of 4.45 seconds, the average velocity is calculated to be 224.44 m/s, based on the total displacement of 1.00 km above the ground. The key takeaway is that average velocity is defined as the total change in location divided by the total time duration, not dependent on instantaneous velocities at the end of the intervals.

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A rocket carrying a satelite is accelerating straight up from the Earth's surface. The rocket clears the top of its launch platform, 47 m above the ground, 1.35 seconds after lift off. After an additional 4.45 seconds it is 1.00 km above the ground. Calculate the magnitude of the average velocity of the rocket for (a) the 4.45 second part of the flight; (b) the first 5.80 second part of the flight.

So do I use [itex]\overline v_{x} = \frac{1}{2}(v_{x}_{0} + v_{x})t[/itex] or [itex]v_{x} = \frac{1}{2}(0 + \frac{47}{1.35})(1.35)[/itex] and do the same for the second part, except with different time and final speed?

Thanks
 
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any ideas?
 
No, you don't.

the 47[m]/1.35 is the average velocity of interval 1,
not the velocity at the END of interval 1.
While it might be reasonable to expect that
v_end = 2 * v_average .

The important point is that average velocity is
_defined_ to be (location change) / (time duration) !
you know the location change for time interval #2.

You also know the displacement for the two intervals
takean as one. Why are you trying to be fancy?
 

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