Calculating Distance Traveled During Acceleration

In summary, the object traveled a distance of approximately 2 meters while accelerating, according to the given equations and calculations. The answer key states that the direction is west, but this is not possible as the object is initially at rest and the force and velocity are both to the east. Therefore, the direction is not required for this question.
  • #1
Anon1456
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Homework Statement


A net force of 6.6 N east acts on a 9.0 kg object. If this object accelerates uniformly from rest to a velocity of 3.0 m/s east,

How far did the object travel while accelerating?

Homework Equations


F=ma
vf^2 = vi^2 + 2ad

The Attempt at a Solution


F=ma

a= f/m

a=6.6/9

a= 0.73333333333

vf^2 = vi^2 + 2ad

3 = 0 + 2(.733333)(d)

3= 1.467d

3/1.467 = about 2m
But the answer key says 6.1 m west. What did I do wrong and why is it west?
 
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  • #2
Just a small glitch in math... you forgot to raise vf to the square. For direction just follow the path.
 
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  • #3
It starts from rest. The force and velocity are both to the east. How can it move to the west?

But anyway the question only asks "How far did the object travel while accelerating?" so the direction isn't required?
 
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What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is a measure of how quickly the object is speeding up, slowing down, or changing direction.

How is acceleration calculated?

Acceleration is calculated by dividing the change in an object's velocity by the change in time. This can be represented by the equation a = (v2 - v1) / t, where a is acceleration, v1 is the initial velocity, v2 is the final velocity, and t is the time interval.

What is the difference between acceleration and velocity?

Velocity is a measure of an object's speed and direction, while acceleration is a measure of how quickly an object's velocity is changing. In other words, velocity tells us how fast an object is moving and in which direction, while acceleration tells us how much the object's velocity is changing over time.

How does acceleration affect distance?

Acceleration affects distance by determining how quickly an object's velocity changes over time. The greater the acceleration, the faster the object's velocity changes and the greater the distance the object will travel in a given amount of time.

What are some real-world examples of acceleration and distance?

Some real-world examples of acceleration and distance include a car speeding up or slowing down, a roller coaster going down a hill, a ball being thrown, and an airplane taking off or landing. In each of these scenarios, acceleration affects the distance travelled by the object.

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