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

[Manh]

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

 

[Chestermiller]

Please show us your work.

Chet

 

[DaniV]

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?

 

[Manh]

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

 

[Chestermiller]

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

 

[DaniV]

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

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...

 

[Manh]

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

 

[DaniV]

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!

 

[Manh]

So to express the answer in two sig figs, it should be 9.3 x 10^3 m?

 

[Manh]

Thats right!

I submit the answer but it is still incorrect according to Mastering Physics

 

[Chestermiller]

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

 

[Manh]

I would check my answer again. Thanks!

 

[DaniV]

The initial velocity is zero due to the fact that it say to us that spaceship accelerate from zero to 340 km/h