I need help with these problems please, and please answer all parts of the problems.

The path r(t) = (t) i + (t2 - 2) j describes motion on the parabola y= x2 - 2. Find the particle's velocity and acceleration vectors at t = - 3, and sketch them as vectors on the curve. The velocity vector at t = 3 is v( a) = i + D j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion at t = 1. Write the particle's velocity at that time as the product of its speed and direction. r(t) = (2 In (t + 1))i + 12j + 5 . . . . . The particle's velocity is i + j + k. (Type exact answers, using radicals as needed.)