Produce a report that contains written descriptions, analysis and mathematics that shows how calculus can be used to solve engineering problems as set out below. 1. The equation for a distance, s(m), travelled in time t(s) by an object starting with an initial velocity u(ms ') and uniform acceleration a(ms ?) is: 2 The tasks are to: Task 1 a) Plot a graph of distance (s) vs time (t) for the first 10s of motion if u = 10 ms- and a = 5ms-2. b) Determine the gradient of the graph at t = 2s and t = 6s. c) Differentiate the equation to find the functions for i) Velocity ( = = ii) Acceleration la = = d) Use your result from part c to calculate the velocity at : = 2s and t = 65. e) Compare your results for part b and part d