Distance b/w (1.00, -5.00) & (-8.00, 8.00): Calculate & Polar Coords

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To calculate the distance between the points (1.00, -5.00) and (-8.00, 8.00), the distance formula is applied, yielding a result of approximately 9.22 meters. For the polar coordinates, the radial distances (r) are determined using the formula r = √(x² + y²), resulting in r = 5.10 m for (1.00, -5.00) and r = 8.94 m for (-8.00, 8.00). The angles (θ) are calculated using θ = arctan(y/x), giving θ = -78.69° for the first point and θ = 2.36° for the second point. The discussion encourages participants to share their progress and specific challenges for more targeted assistance. Understanding these calculations is essential for mastering coordinate transformations in physics and mathematics.
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Homework Statement


Two points in the xy plane have Cartesian coordinates (1.00, -5.00) m and (-8.00, 8.00) m.
(a) Determine the distance between these points.
in m

(b) Determine their polar coordinates.
(1.00, -5.00)
r = m
θ = ° (counterclockwise from the + x-axis is positive)

(-8.00, 8.00)
r = m
θ = ° (counterclockwise from the + x-axis is positive)
 
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