Chapter 6, Problem 6.10P

A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?

Roughly how many heartbeats are there in a lifetime?

If , and , find the unknown constants a and b such that .

A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (2.7, 1.8), where the units are meters, what is the location of the fly in polar coordinates?

You want to calculate the area of your dorm room which is in a rectangular shape. You measure the length and the width of the room as L = 5.8 +- 0.1 m , W = 3.5 +- 0.1 m. What is the absolute error in the area in m2  units?

prove that A ⊕ B Equal to inverse of Y= ĀB+AB̄

given a circle of radius a, find by integration using polar coordinates (d) its circumference (e)the centroid of a quarter circle arc

Given vector A = <-12, -15, -20>  and vector B = <22, -1, 0> , what is the component magnitude of vector B in the direction of vector A? (Compute up to 4 decimal places)

Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length and points along a direction 31 degrees from the positive x-axis, and vector C is 9 units and points along a direction 160 degrees. What is the direction of the resulatant with respect to the positive x-axis in degrees?