How high is a spaceship after accelerating to 340 km/h in 1.1 minutes?

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SUMMARY

The discussion focuses on calculating the altitude of a spaceship that accelerates to 340 km/h in 1.1 minutes. The correct approach involves determining the acceleration, which is 1.43 m/s², and applying the kinematic equation xf = xi + vi*t + 1/2at². The final altitude at t = 66 seconds is calculated to be approximately 9347.58 m, which should be expressed as 9.3 x 10³ m for two significant figures. Misapplication of the equations led to initial incorrect calculations of 6233.04 m.

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  • Understanding of kinematic equations, specifically xf = xi + vi*t + 1/2at²
  • Ability to convert units, such as km/h to m/s
  • Knowledge of calculating average velocity and acceleration
  • Familiarity with significant figures in scientific notation
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of motion under constant acceleration.

Manh
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Homework Statement


A spaceship lifts off vertically with constant acceleration and reaches a speed of 340 km/hin 1.1 min .
What is the ship's altitude at t = 66 s ?
Express your answer to two significant digits and include the appropriate units.

Homework Equations


xf = xi + v*delta t

The Attempt at a Solution


6233.04 m
 
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Please show us your work.

Chet
 
You need to find the acceletion of the spaceship,after this put this data in equzion that describe his state according the time including acceleration parameter,
Can you find this equzion? :wink:
 
I convert 340 km/h to 94.44 m/s and 1.1 min to 66 s.
I plug the known data to the equation:
xf = 0 + (94.44)(66)
xf = 6233.04 m
 
Manh said:
I convert 340 km/h to 94.44 m/s and 1.1 min to 66 s.
I plug the known data to the equation:
xf = 0 + (94.44)(66)
xf = 6233.04 m
You plugged in the final velocity, but was it traveling with that velocity the whole time? What was the average velocity, given the acceleration was constant?

Chet
 
Manh said:

Homework Statement


A spaceship lifts off vertically with constant acceleration and reaches a speed of 340 km/hin 1.1 min .
What is the ship's altitude at t = 66 s ?
Express your answer to two significant digits and include the appropriate units.

Homework Equations


xf = xi + v*delta t

The Attempt at a Solution


6233.04 m
Manh said:
I convert 340 km/h to 94.44 m/s and 1.1 min to 66 s.
I plug the known data to the equation:
xf = 0 + (94.44)(66)
xf = 6233.04 m
This equation doesn't describe the body in acceleration...
 
DaniV said:
You need to find the acceletion of the spaceship,after this put this data in equzion that describe his state according the time including acceleration parameter,
Can you find this equzion?
a = 94.44/66 = 1.43 m/s^2
xf = xi + vi*t + 1/2at^2
xf = 0 + (94.44)(66) +1/2(1.43)(66)^2
xf = 9347.58 m
 
Manh said:
a = 94.44/66 = 1.43 m/s^2
xf = xi + vi*t + 1/2at^2
xf = 0 + (94.44)(66) +1/2(1.43)(66)^2
xf = 9347.58 m
Thats right! :oldbiggrin:
 
So to express the answer in two sig figs, it should be 9.3 x 10^3 m?
 
  • #10
DaniV said:
Thats right! :oldbiggrin:
I submit the answer but it is still incorrect according to Mastering Physics
 
  • #11
Manh said:
a = 94.44/66 = 1.43 m/s^2
xf = xi + vi*t + 1/2at^2
xf = 0 + (94.44)(66) +1/2(1.43)(66)^2
xf = 9347.58 m
This is incorrect. The initial velocity is zero. Only the 3rd term should be in there. Alternately, the average speed is (94.44)/2 = 47.22 m/sec, so the distance should be half your original answer 6233/2 = 3117 m. Either way, you will get the same answer.

Chet
 
  • #12
I would check my answer again. Thanks!
 
  • #13
The initial velocity is zero due to the fact that it say to us that spaceship accelerate from zero to 340 km/h
 

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