Hello I need some help with these 4 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1a) Sketch a possible distance curve for the velocity curve at right. Justify your solution by offering a full explanation of your reasoning. 1b) Sketch a possible distance curve for the acceleration curve at right. Justify your solution by offering a full explanation of your reasoning. 2) A baseball is hit vertically upward. The position function s(t), in metres, of the ball above the ground is s(t) = -5t2 + 30t + 1 , where ti is in seconds. a) Determine the maximum height reached by the ball. b) Determine the velocity of the ball when it is caught 1 m above the ground. 3) An object is moving horizontally. The object's displacement, s, in metres at t seconds is described by the function s(t) = 4t - 7t2 + 2+3 a) Determine the velocity and acceleration at t = 2 seconds. b) When is the object stationary? Describe the motion immediately before and after these times. c) At what time, to the nearest tenth of a second, is the acceleration equal to 0? Describe the motion at this time. 4. Determine the first and second derivative of the following functions. a) h(x) = 3x4 - 4x3 - 3x2 - 5 b) f (x ) = (2x - 5)3 cy = 15 x+ 3