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

In summary, a watercraft with an initial velocity of 6.4 m/s [E] undergoes an average acceleration of 2.0 m/s^2 [S] for 2.5 s. The final velocity of the watercraft can be found by using the equation Vf = Vi + at. The final velocity in the south direction will be 5 m/s, and the final velocity in the east direction will remain at 6.4 m/s. Using Pythagoras' theorem, the final velocity of the watercraft can be calculated to be approximately 8.2 m/s [E 63.4° S].
  • #1
chris097
16
0

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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  • #2
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?
 
  • #3
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 :)
 
  • #4
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.
 
  • #5
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.
 
  • #6
oh my... thanks a lot. i'll be able to sleep tonight now.
 

1. What is 2 dimensional acceleration?

2 dimensional acceleration refers to the change in velocity of an object in two different directions, typically represented by x and y axes. It takes into account both the speed and direction of an object's motion.

2. How is 2 dimensional acceleration calculated?

2 dimensional acceleration is calculated by dividing the change in velocity in both directions by the change in time. This can be represented by the equation a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. What is the difference between 2 dimensional acceleration and 1 dimensional acceleration?

The main difference between 2 dimensional acceleration and 1 dimensional acceleration is that 2 dimensional acceleration takes into account changes in velocity in two different directions, while 1 dimensional acceleration only considers changes in one direction. This means that 2 dimensional acceleration is more complex and requires more calculations.

4. How is 2 dimensional acceleration represented graphically?

2 dimensional acceleration is represented graphically by a vector diagram, which includes both a magnitude (or numerical value) and a direction. The length of the vector represents the magnitude of the acceleration, while the angle of the vector represents the direction.

5. What are some real-life examples of 2 dimensional acceleration?

Some real-life examples of 2 dimensional acceleration include a car making a turn, a projectile motion (such as a thrown ball), or a rollercoaster going over a loop. In all of these scenarios, the acceleration is changing in both the horizontal and vertical directions.

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