# Dinstance traveled with a constant force?

• disque
In summary, the problem asks for the distance traveled by a spacecraft with an initial velocity of 34 m/s and a constant force of 396 N acting on it, when it reaches a final velocity of 4890 m/s. The attempt at a solution involves using the equation F=ma and then setting up a=(vf-vi)/delta t. However, this method did not work and the user is looking for help in finding the correct method. One suggestion is to use the equation Vf2 = Vi2 + 2*a*x to find the distance after finding the acceleration.
disque

## 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...

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).

## What is distance traveled with a constant force?

Distance traveled with a constant force is the measurement of how far an object has moved when a constant force is applied to it. This is a key concept in understanding the relationship between force, mass, and acceleration in Newton's Second Law of Motion.

## How is distance traveled with a constant force calculated?

The formula for calculating distance traveled with a constant force is d = (1/2)at², where d is distance, a is acceleration, and t is time. This formula is derived from the equation F=ma, and takes into account the fact that acceleration is constant when a constant force is applied.

## What is the relationship between force and distance traveled with a constant force?

The greater the force applied to an object, the greater the distance it will travel in a given amount of time. This is because a larger force results in a greater acceleration, which in turn leads to more distance traveled over time.

## How does mass affect distance traveled with a constant force?

The more massive an object is, the greater the force needed to accelerate it at the same rate as a less massive object. Therefore, a more massive object will not travel as far with a constant force as a less massive object.

## How does distance traveled with a constant force differ from distance traveled with a variable force?

When a variable force is applied to an object, the distance traveled is not constant. This is because the force is changing over time, resulting in varying levels of acceleration. In contrast, with a constant force, the distance traveled is directly proportional to the time elapsed.

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