Question

What is the resultant velocity vector when you add your swimming velocity and the current velocity? give the x and y components in meters per second separated by a comma?

Answer 1

The resultant vector, is the vector that adds the components x and y separately.

Since the two x components are 0.00 m/s and 1.00 m/s, the resultant x component will be:

0.0   m/s + 1.00 m/s = 1.00 m/s in + x direction

Similarly, the y components will be:

  -1.00 m/s + 0.00 m/s = -1.00 m/s in -y direction

So, the resultant vector will be: 

(1.00 m/s, -1.00 m/s)

Answer 2

The simultaneous vector of velocity in the form of components x and y is

1, -1 m / s

Further explanation

Vectors are quantities that have magnitude and direction

Vector can be symbolized in the form of directed line segments

One of the presentations of vector shapes is in geometric conditions where the vector components are expressed in the form of x and y coordinates which can be described in matrix form

The position vector of a vector starts from the starting point to the endpoint

Addition of two vectors is the addition of component x and component y

A (x1, y1) and B (x2, y2)

A + B = (x1 + x2, y1 + y2)

There is additional information on the problem:

a swimmer moves to the right with a speed of 1 m / s while the current from the river with the same speed down by 1 m / s (picture attached)

so the vector component position based on components x and y becomes:

swimmer (p): (1,0)

river current (s): (0, -1)

So if the two vectors are added it will become:

v = p + s

v = (1 + 0, 0-1)

v = (1, -1) m / s

Learn more

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Keywords: vectors, a swimmer, river, Addition of two vectors