Square root of above value Angle (radian) if value is sin of the angle Angle (radian) if value is cos of the angle

Angle (degree) if value is sin of the angle Angle (degree) if value is cos of the angle

total angle covered w.r.t. x-axis.

Moving & Turning Man

The man first moves for 1min.at constant velocity v , then turns 90° anti-clockwise, again moves at velocity v for 1min.,again turns 90° and so on and so forth.

He starts at time t=0 from origin i.e (x,y) -->(0,0) & moves in positive x-axis.

After nth minute, he is at a distance √n*v from the origin.

After nth minute, he has completed (n-1) turns.

During nth minute, he has turned an angle of cos^{-1}√[(n-1)/n] degree with respect to line joining origin and the previous position.

With velocity v being , At th minute ---distance from origin is

After th minute, he has completed no. of turns.

During th minute, he has turned an angle of degree with respect to line joining origin and the previous position.( make the fraction( n-1)/n )

Image of Turning Man