For a particle moving in the x-y plane, the position can be written in polar coordinates as rrr, where r = x² + y² and F = cos 0+ sin 0. Show that the velocity can be written as v = rî+roo, where the unit vector is orthogonal to r.

Can you please answer question 2 and 3

A map in a pirate’s log gives directions to the location of a buried treasure. The starting location is an old oak tree. According to the map, the treasure’s location is found by proceeding 7.45 paces North from the oak tree and then 6.62 paces Northeast. At this location, an iron pin is sunk into the ground. From the iron pin, walk 2.59 paces South and dig. How far (in paces) from the oak tree is the spot at which digging occurs?

1 and 2 please I think I got 2 wrong

One side of a triangle is a = 6 units in length and the hypotenuse is c = 8 units in length. How long is side b? 3.74 units 5.29 units 10.0 units 1.41units