Re: Trajectory of an arrow

The angle through which the arrow rotates is the angle between the tangent vector evaluated at t=3 and t= 4. And you can find that from . Since these are **unit** tangent vectors, that is just .

A linear transformation in two dimensions can be represented as a two by two matrix. The linear transformation that maps to is the matrix, satisfying . That reduces to the two equatons and . Solve those equations for a, b, c, d (using **your** values for , of course).

Re: Trajectory of an arrow

so for the angle i did

and theta = inverse of that but it said that was wrong?

Re: Trajectory of an arrow

**Please**, do not use 'unattached' pronouns! What does "it" refer to?