Question 5 [50 marks] a) b) A shot-put thrower competes at several competitions during the year. The best distance, 3 metres, that he achieves at each consecutive competition is modelled by S = 23 + lglut), where t is the competition number. i) Find the distance thrown at the 101'1 competition to the nearest metre. ( 10 marks) ii) How many competitions does it take for the thrower to reach a distance of 30 metres? ( 10 marks} The current i (in mA) in an electric circuit is given by: r' = 30(1 3'5?) where t is time in seconds. i] Make time I the subject of the formula. [10 marks} ii) After how long (it) will the current i reach a value of 15 mA. Give your answer to 4 signicant gures. (10 marks) iii) Determine the terminal value of the current after a very long time (I is a very large value i.e. when I > so). (10 marks)