Two-Dimensional motion components

In summary, a wild horse with an initial speed of 0 m/s runs in a straight line 29° north of west and after 27 seconds, its speed is 15 m/s. Using the equations for average acceleration and trigonometric functions, the magnitude of the horse's average acceleration is calculated to be 0.56 m/s north of west. However, when finding the components of the acceleration along the north-south and east-west lines, it is important to take into account the negative direction of west, resulting in incorrect answers of 0.29 m/s and 0.49 m/s. This is determined through the webassign.net platform that indicates whether an answer is correct or incorrect.
  • #1
wallace13
31
0
A wild horse starts from rest and runs in a straight line 29° north of west. After 27 s of running in this direction, the horse has a speed of 15 m/s. Find the magnitude of the horse's average acceleration. Assuming that north and east are the positive directions, find the component of the horse's acceleration that points along the north-south line. Find the component of the horse's acceleration that points along the east-west line.



Vf= at

sin O= opp/hyp

cos O= adj/ hyp

I found the average acceleration to be .56 m/s north of west using the first equation. I would assume that the the x and y components it asks for would be found using the sin and cosine equations, but i get the wrong answer ( .29 m/s and .49 m/s)
 
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  • #2
How do you know that that is the wrong answer?
 
  • #3
Because we type our answers into webassign.net and it tells us if we're right or wrong.
 
  • #4
The problem states that North and East are defined as the positive directions. However, the resultant acceleration of the horse is north of WEST. Therefore, one of the components will be negative.
 

Related to Two-Dimensional motion components

1. What is two-dimensional motion?

Two-dimensional motion refers to the movement of an object in a plane, where both horizontal and vertical components are considered. This means that the object is moving in two different directions at the same time.

2. What are the components of two-dimensional motion?

The two components of two-dimensional motion are the horizontal component, which represents the movement in the x-axis, and the vertical component, which represents the movement in the y-axis. These components can be broken down and analyzed separately to understand the overall motion of the object.

3. How do you calculate the velocity of an object in two-dimensional motion?

The velocity of an object in two-dimensional motion can be calculated by finding the magnitude of its displacement vector, which is the straight-line distance between its initial and final positions. This magnitude can then be divided by the time taken to travel that distance to determine the object's velocity.

4. What is the difference between speed and velocity in two-dimensional motion?

Speed refers to the rate at which an object covers distance, while velocity refers to the rate at which an object changes its position. While speed only considers the magnitude of an object's motion, velocity takes into account both the magnitude and direction of the motion.

5. How does acceleration affect two-dimensional motion?

Acceleration can affect two-dimensional motion in different ways depending on the direction of the acceleration. If the acceleration is in the same direction as the velocity, the object will speed up. If the acceleration is in the opposite direction of the velocity, the object will slow down. If the acceleration is perpendicular to the velocity, it will cause the object to change direction without changing its speed.

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