Relative motion in 1 and 2 dimensions

In summary, relative motion is the velocity an object is moving relative to something else. In one dimension, the relative velocity is found by subtracting the velocity of the other object from the original object's velocity. This can be extended to two dimensions by using two-dimensional vectors.
  • #1
RadiationX
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can someone explain the concept of relative motion in one and two dimensions?
how do i determine relative motion?
 
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  • #2
Relative motion is the velocity an object is moving relative to somehting else.

So for one dimension:
If we have object A moveing in the -x direction with a velocity of -5 m/s and object B moving in the +x direction with a velocity 5m/s. If we wanted to know the relative velocity of A from B, it is the same as considering B still and A moving.

To find the answer we subtract B's velocity vector from A's velocity vector.
Avv -Bvv = -5m/s -(5m/s)

Relative velocity of A from B:
Avv -Bvv = -5m/s - 5m/s = -10ms

Relative velocity of B from A
Bvv-Avv = 5m/s -(-5m/s) =5m/s +5m/s) =10m/s

The same can be extended to two dimentions by using two dimensional vectors.
 
  • #3
thanks i got it
 

FAQ: Relative motion in 1 and 2 dimensions

What is relative motion?

Relative motion refers to the movement of an object in relation to another object. It takes into account the perspective of the observer and how the objects are moving relative to each other.

How is relative motion different in 1 and 2 dimensions?

In 1 dimension, relative motion only considers movement along a straight line. In 2 dimensions, it takes into account movement in two perpendicular directions, typically represented by the x and y axes.

What is the difference between relative velocity and relative acceleration?

Relative velocity is the rate at which the distance between two objects is changing. Relative acceleration, on the other hand, is the rate at which the relative velocity is changing over time.

How do you calculate relative motion in 1 and 2 dimensions?

In 1 dimension, relative motion can be calculated using the formula Δx = xf - xi, where Δx is the change in position, xf is the final position, and xi is the initial position. In 2 dimensions, the Pythagorean theorem can be used to calculate the total displacement, and trigonometric functions can be used to determine the direction of motion.

What are some real-life applications of relative motion in 1 and 2 dimensions?

Relative motion is used in various fields, including physics, engineering, and navigation. Some real-life applications include calculating the velocity of a moving vehicle, determining the trajectory of a projectile, and predicting the movement of celestial bodies.

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