The Cartesian coordinate of a point in the xy plane are (x, y)=(-3.50,-2.50)m. Find the poler coordinate of this point

The polar coordinate of is .

Explanation:

Given a point in rectangular form, that is , its polar form is defined by:

(1)

Where:

- Norm, measured in meters.

- Direction, measured in sexagesimal degrees.

The norm of the point is determined by Pythagorean Theorem:

(2)

And direction is calculated by following trigonometric relation:

(3)

If we know that and , then the components of coordinates in polar form is:

Since and , direction is located at 3rd Quadrant. Given that tangent function has a period of 180º, we find direction by using this formula:

The polar coordinate of is .

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be