Acceleration in Two Dimensions (Vector)

In summary, the bird traveled from Lesser Slave Lake to Dore Lake and then to Big Quill Lake, covering a total distance of 1200.0 km. Its total displacement was 837.5 km [E 58.5deg S] due to its changing direction. The average speed of the bird was 66.67 km/h and its average velocity was 46.53 km/h [E 47.5deg S]. Kinematic equations such as ∇Velx = Vfx - Vix and ΔVel = √Vx^2 + Vy^2 can be used to solve for these values. It is important to understand the concepts of total distance traveled and total displacement in order to solve the problem
  • #1
trapones
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Homework Statement



A bird flies from Lesser Slave Lake in northern Alberta to Dore Lake in northern Saskatchewan. The birds displacement is 800.0 km [E 7.5deg S]. The bird then flies from Dore Lake to Big Quill Lake, Saskatchewan. This displacement is 400.0 km [E 51deg S]. The total time of the flight is 18.0 hours. Determine the bird's
  1. total distance traveled
  2. total displacement
  3. average speed
  4. average velocity

Homework Equations


Very many kinematic equations
∇Velx = Vfx - Vix
∇Vely = Vfy - Viy
ΔVel = √Vx^2 + Vy^2

Etc.
 
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  • #2
In order to provide you with help we need to see your attempt at solving the problem. Do you understand what each of the things you're asked to find is? For example, can you explain what the total distance traveled is? Can you explain what the total displacement is? I recommend you review you notes from class or refer to your textbook (or other online resources) if not. Once you understand these concepts and the difference between them the problem should be much easier.

If you're having difficulty ask for help, but we need to see some kind of attempt first. :)
 

Related to Acceleration in Two Dimensions (Vector)

1. What is acceleration in two dimensions?

Acceleration in two dimensions, also known as vector acceleration, is a measure of the rate at which an object's velocity changes in both the horizontal and vertical directions.

2. How is acceleration in two dimensions calculated?

Acceleration in two dimensions is calculated by dividing the change in velocity by the change in time. This can be represented using vector notation as a = (Δv/Δt).

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

Scalar acceleration only takes into account the magnitude or size of an object's acceleration, while vector acceleration takes into account both the magnitude and direction of the acceleration.

4. Can an object have different accelerations in the horizontal and vertical directions?

Yes, an object can have different accelerations in the horizontal and vertical directions. This is known as non-uniform acceleration and can occur when an object is moving in a curved or non-linear path.

5. How does acceleration in two dimensions affect an object's motion?

Acceleration in two dimensions can affect an object's motion by changing its velocity in both the horizontal and vertical directions. This can result in curved or non-linear motion, as well as changes in the object's speed and direction.

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