Average Velocity of a Rocket Launch: Calculating Magnitude and Time

In summary, a rocket carrying a satellite accelerates straight up from the Earth's surface, clearing its launch platform 47 meters above the ground in 1.35 seconds after lift off. After an additional 4.45 seconds, it reaches a height of 1.00 km above the ground. To calculate the average velocity, use the formula v = (change in displacement) / (change in time). For the 4.45 second part of the flight, the average velocity is (1000 - 47) / (4.45 - 1.35) = 245.83 meters per second. For the first 5.80 seconds, the average velocity is (1000 - 47) / 5
  • #1
courtrigrad
1,236
2
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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  • #2
any ideas?
 
  • #3
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?
 

1. What is the average velocity of a rocket launch?

The average velocity of a rocket launch can vary depending on the specific rocket and its trajectory. However, in general, the average velocity of a rocket launch is around 7,000 to 8,000 meters per second.

2. How is the magnitude of the average velocity of a rocket launch calculated?

The magnitude of the average velocity of a rocket launch is calculated by dividing the total displacement of the rocket by the total time taken for the launch. This gives the average velocity in meters per second (m/s).

3. What factors can affect the average velocity of a rocket launch?

The average velocity of a rocket launch can be affected by factors such as the weight of the rocket, the thrust of the engines, air resistance, and the angle and trajectory of the launch.

4. How is the time of a rocket launch determined?

The time of a rocket launch is determined by measuring the time from when the rocket's engines start to when it reaches its desired altitude. This can also be calculated by dividing the total distance traveled by the average velocity of the rocket.

5. Why is it important to calculate the average velocity of a rocket launch?

Calculating the average velocity of a rocket launch is important for understanding the performance and efficiency of the rocket. It also allows for accurate predictions and planning for future rocket launches.

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