Need help on homework questions 6 and 7. Id really appreciate the help with a clear explanation. Thanks.

(5) Find where y = ar + br + c and a, b, c are constants. (6) The equation of motion of a particle is s = 313 - 3t' + 3t + 2, where s is measured in meters and t is in seconds. (a) Find the velocity () and acceleration ($4) arz ) as functions of t. (b) Find the acceleration at time t = 1. (c) Graph the position, velocity, and acceleration functions on the same screen. Then retrace the graphs on paper. (7) Find an equation of the tangent line L to the curve y = x2 + 2, parallel to the line y =1 +3x. (Hint: What must be the slope of this tangent line?) Graph on the same screen y = a" + 2, y = 1 + 3x, and the tangent line L. (8) Find a second degree polynomial (a function P(x) = ax + br + c) such that P(4) = 5, P'(4) = 3, and P"(4) = 3