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

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SUMMARY

The velocity vector of an object moving in the x direction at 1.3 m/s, after undergoing an acceleration of 0.52 j hat m/s² for 4.4 seconds, can be calculated using the components of velocity. The x component remains 1.3 m/s as there is no acceleration in that direction. The y component, starting from an initial velocity of 0 m/s, results in a final velocity of 2.3 m/s after applying the acceleration over the given time. Therefore, the final velocity vector is (1.3 i hat, 2.3 j hat) m/s.

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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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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.
 
Thanks for the confirmation.
 

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