What is the Velocity Vector of an Object After Undergoing Acceleration?

In summary, the conversation was about finding the velocity vector of an object after 4.4 seconds of undergoing an acceleration. The homework equations and attempts at a solution were discussed, and the final velocity components were calculated to be 1.3 m/s in the x direction and 2.3 m/s in the y direction.
  • #1
warnexus
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Homework Statement


An object is moving in the x direction at 1.3 m/s when it undergoes an acceleration. Acceleration vector equals .52 j hat meter per second every second. Find its velocity vector after 4.4 seconds.
I am told to find x and y component of the velocity vector.

Homework Equations



Velocity vector x component equals initial velocity x component + acceleration vector x component times time.
Same applies for y component

The Attempt at a Solution


Use the above equation to find x component.
Since the object has a initial velocity in the x direction. Plug that into the equation. There is no acceleration in the x direction based on the problem. So acceleration vector x component is zero which makes initial velocity vector x same as final velocity x component. The final velocity x component is 1.3 m/s.

To find velocity y component insert. 52 j hat as it was a given. Insert time as well. Initial velocity y component was not given. So it is zero. The final velocity y component is 2.3 m/s.
 
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  • #2
warnexus said:

Homework Statement


An object is moving in the x direction at 1.3 m/s when it undergoes an acceleration. Acceleration vector equals .52 j hat meter per second every second. Find its velocity vector after 4.4 seconds.
I am told to find x and y component of the velocity vector.

Homework Equations



Velocity vector x component equals initial velocity x component + acceleration vector x component times time.
Same applies for y component

The Attempt at a Solution


Use the above equation to find x component.
Since the object has a initial velocity in the x direction. Plug that into the equation. There is no acceleration in the x direction based on the problem. So acceleration vector x component is zero which makes initial velocity vector x same as final velocity x component. The final velocity x component is 1.3 m/s.

To find velocity y component insert. 52 j hat as it was a given. Insert time as well. Initial velocity y component was not given. So it is zero. The final velocity y component is 2.3 m/s.

Yeah, seems ok to me.
 
  • #3
Thanks for the confirmation.
 

FAQ: What is the Velocity Vector of an Object After Undergoing Acceleration?

1. What are vector components?

Vector components are the individual magnitudes and directions that make up a vector. A vector can be broken down into its component vectors in order to better understand its properties and behavior.

2. How do you find the magnitude of a vector component?

The magnitude of a vector component can be found by using the Pythagorean theorem. This involves squaring the horizontal and vertical components, adding them together, and then taking the square root of the sum.

3. What is the difference between scalar and vector components?

Scalar components only have magnitude, while vector components have both magnitude and direction. Scalar components can be added together by simple arithmetic, while vector components require vector addition which takes into account direction.

4. How do you find the direction of a vector component?

The direction of a vector component can be found by using trigonometric functions such as sine, cosine, and tangent. These functions relate the ratio of the opposite and adjacent sides of a right triangle to the angle of the vector component.

5. What are some real-world applications of vector components?

Vector components are used in many fields, including physics, engineering, and navigation. Some real-world applications include analyzing forces in structures, calculating the trajectory of a projectile, and determining the direction and speed of a moving object.

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