What is the final velocity of a watercraft with 2-dimensional acceleration?

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To find the final velocity of a watercraft with an initial velocity of 6.4 m/s [E] and an average acceleration of 2.0 m/s² [S] over 2.5 seconds, the appropriate equation is Vf = Vi + aav(t). The southward acceleration affects only the southward component of velocity, while the eastward component remains unchanged. By calculating the southward velocity using V = a*t, the final velocities can be combined as vectors using the Pythagorean theorem. This method provides a clear solution to the problem. Understanding vector addition is crucial for solving two-dimensional motion problems effectively.
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Homework Statement



A watercraft with an initial velocity of 6.4 m/s [E] undergoes an average acceleration of 2.0 m/s^2 for 2.5 s. What is the final velocity of the watercraft

The Attempt at a Solution



i'm lost :(
 
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chris097 said:

Homework Statement



A watercraft with an initial velocity of 6.4 m/s [E] undergoes an average acceleration of 2.0 m/s^2 for 2.5 s. What is the final velocity of the watercraft

The Attempt at a Solution



i'm lost :(


Welcome to PF.

What equations do you know that would relate velocities and acceleration and time?
 
LowlyPion said:
Welcome to PF.

What equations do you know that would relate velocities and acceleration and time?

Vf = Vi + aav(t)

and thank you for the welcome :)
 
That equation doesn't work. It's 2 dimensional. South acceleration with an Eastern intial velocity. I've been on that question for way too long. Please help.
 
Starting from rest then what will the {S} component of velocity be after 2.5 s?

The V = a*t cited would work just fine.

Armed with the {S} velocity and knowing that the {E} velocity is unchanged, then simply add the velocities as vectors. Let Pythagoras be your guide.
 
oh my... thanks a lot. i'll be able to sleep tonight now.
 

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