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Polar to rectangular equation calculator tool makes the calculation faster.

a) True
b) False

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Final answer:

The true or false statements discuss concepts in physics, covering topics such as graphs of motion, vectors, electric fields, and polarization. Only one statement was found to be false, which suggests that the average speed of a ball will be less than its average velocity.

Step-by-step explanation:

Let's address these true or false statements one by one:

Position vs Time Graph: A position vs time graph of an object that is speeding up is not a straight line; instead it is a curved line because the slope of the line (which represents velocity) is changing.

Therefore, the statement is False.

Pythagorean Theorem: We can use the Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other. Therefore, the statement is True.

A vector can indeed form the shape of a right-angle triangle with its x and y components, illustrating the relationship between a vector and its horizontal and vertical components. This statement is True.

The electric-field lines from a positive point charge do indeed spread out radially and point outward, representing the direction of the electric field around a positive charge. So, this statement is True.

For an object moving with constant acceleration, the displacement versus time graph is a parabola, a curved line, and the displacement versus time squared graph is a straight line, indicating a constant rate of change of displacement with time squared. This is True.

If only the angles of two vectors are known, we cannot find the exact angle of their resultant addition vector without more information. This statement is False.

Charging an object by polarization does not require touching it with an object carrying excess charge; instead, it involves rearranging the distribution of electrons within the object due to the electric field of the charged object.

Therefore, the statement is False.

The calculation of values from a graph will be as accurate as the equation and measurements used.

Here the context is not fully clear, but in general, calculations tend to be more accurate when based on precise equations and measurements rather than estimations from a graph.

This suggests that estimations from a graph might be more prone to inaccuracy, which is implied to be True.

Average speed is a measure of the total distance traveled over a certain time period, whereas average velocity is the displacement divided by time.

If the path taken is not a straight line, the average speed can be greater than the average velocity. Therefore, the statement is False.

Polar to rectangular equation calculator tool makes the calculation faster. a) True-example-1
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