Dinstance traveled with a constant force?

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A constant force of 396 N acts on a spacecraft with a mass of 7890 kg, starting at an initial velocity of 34 m/s and reaching a final velocity of 4890 m/s. The user attempted to calculate acceleration using F=ma, resulting in an acceleration of 19.92 m/s², but struggled with finding the distance traveled. Suggestions included using the kinematic equation Vf² = Vi² + 2ax to determine the distance. The discussion highlights the need for clarity in applying physics equations to solve for distance under constant force conditions. Understanding the correct application of these formulas is essential for solving the problem accurately.
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Homework Statement




A constant force of 396 N acts on a spacecraft of mass 7890 kg that has an initial velocity of 34 m/s. How far has the spacecraft traveled when it reaches a velocity of 4890 m/s?


The Attempt at a Solution



I tried doing F=ma and got the a= 19.92 and then setting up a=(vf-vi)/delta t

Didn't work...
I don't know what I did wrong. Please help. thank you
 
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Distance traveled with a constant force

Homework Statement


A constant force of 396 N acts on a spacecraft of mass 7890 kg that has an initial velocity of 34 m/s. How far has the spacecraft traveled when it reaches a velocity of 4890 m/s?


Tried setting it up with f=ma then taking (delta)v/(delta)t=a to find the position
 


disque said:

Homework Statement


A constant force of 396 N acts on a spacecraft of mass 7890 kg that has an initial velocity of 34 m/s. How far has the spacecraft traveled when it reaches a velocity of 4890 m/s?


Tried setting it up with f=ma then taking (delta)v/(delta)t=a to find the position

Maybe after finding the acceleration you would use

Vf2 = Vi2 + 2*a*x

to yield the distance
 
Merged two threads with the same question by disque (that's why there appear to be two original posts).
 

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