a) A ball is thrown upward from a height of 4m at an initial speed of 12 m/sec. Acceleration resulting from gravity is -9.8 m/sec2 . Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after it is thrown and before it returns to the ground. Additionally what is the velocity when the ball hits the ground? b) Suppose that a particle moves along a straight line with velocity defined by v(t) = t2 - 6t - 27, where e s t s 5 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 5. c) The area A(t) of a triangular is growing at a constant rate. If the area increases from 6nt units to 20Tt units between times t = 5 and t = 7, find the net change in the radius during that time