Question: I need help with these two problems please and please answer all parts and please make it legible. I've been having a lot of problems
I need help with these two problems please and please answer all parts and please make it legible. I've been having a lot of problems with the tutors today.


The path r(t) = (t) i + (2t2 + 9) j describes motion on the parabola y = 2x2 + 9. Find the particle's velocity and acceleration vectors att=4, and sketch them as vectors on the curve. The velocity vector at t= 4 is v(4) = i + ( 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 n- Next question - and direction of motion at t = 1. Write the particle's velocity at that time as the product of its speed and direction. 2 r(t)=(arn(t+1))i+t2j+t7k The particle's velocity is i+ ' + k. (Type exact answers, using radicals as needed.)
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