Question

_{^{An object moves in a coordinate system with velocity vector v(t) = < sqrt(1+2t), tcos(?t), tsin(?t) > for t >= 0.}}

_^?=pi

_{^{a. Find the equation of the tangent line to the objects path when it reached the origin.}}

_{^{b. When the object reached the origin, with what angle did it strike the xy-plane?}}

_{^{c. Give the (unit) tangent, (unit) normal, and binormal directions for the object when it hits the xy-plane.}}

_{^{d. Give a vector-valued function describing the objects acceleration when it hits the xy-plane.}}

_{^{e. Give the tangential and normal components of the acceleration when it hits the xy-plane.}}

Answer 1