In vector addition or subtraction only like components will add or subtract. Thi

Question

In vector addition or subtraction only like components will add or subtract. This important aspect of vector analysis is very important in properly evaluating motion problems in more than one dimension. Start by reading through the first 3 sections of chapter 4, in the textbook, then respond to the following questions. How do the equations of motions, for constant or non-constant acceleration, change if we are now working in 2 dimensions? How does writing our equations of motion in vector notation simplify our calculations?

Explanation / Answer

In one dimension motion vector have only one component , that may be x- component , y component, Z component.

In two dimentsion motion vector have two compponents, it may any two of x,y and z component

The vector is represented as

A = (Ax) i +(Ay)j

Ax = A cos(theta) , Ay = A sin(theta)

Here vector makes theta angle with x axis.

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