I want the answer to be CLEAR and EASY TO FOLLOW not handwritten on a notebook but it's okay if you handwrite it on the picture I'm submitting

\fA particle moves along a line so that its position at any time t = 0 is given by the function 5(t) = 2t3 152 + 12t + 2 where s 1s measured in meters and is measured in seconds. (28) Find the instantaneous velocity at any time t7 (29) Find the acceleration of the particle at any time t? (30) When is the particle at rest? (31) At what time intervals of t does the particle move right and left? (Sketch a v(t) line graph) Right: Left: (32) Find the average velocity over the first 2 seconds? (33) Find the derivative of [(x) = Vx by the definition of derivative. (10 points) +h)+ ) = LG+ Fa) h (34) Write the equation of the tangent line tangent to the curve f(x) = :Tz at [31 f(}) (10 points)