The position of a projectile is given by r→(t) = 2i^ + In [sin (t)]j^ + tk^ where sin (t) > 0.
Find the following: the projectile's velocity, the speed of the projectile, the unit tangent vector to the curve, the unit normal vector to the curve, the binormal vector, the curvature of the curve, and the projectile's acceleration written in terms of T→ and N→. ie, find aT^ and aN^ in a→(t) = aT→T→ + aN→N→.