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

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Homework Help Overview

The problem involves a watercraft with an initial velocity of 6.4 m/s directed east, experiencing a two-dimensional acceleration of 2.0 m/s² directed south over a time period of 2.5 seconds. The objective is to determine the final velocity of the watercraft.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the relationship between initial velocity, acceleration, and time, with some expressing confusion about applying equations in a two-dimensional context. There is mention of using vector addition to combine the eastward and southward components of velocity.

Discussion Status

Some participants have provided guidance on how to approach the problem by suggesting the use of vector addition and referencing relevant equations. However, there remains a lack of explicit consensus on the correct method to apply in this two-dimensional scenario.

Contextual Notes

Participants have noted the challenge of dealing with two-dimensional motion and the need to consider both components of velocity separately. There is an indication of frustration regarding the complexity of the problem.

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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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