0 669 (days) 5a. Show that b ~ 0. 00939. [2 marks] Mars completes a full rotation on its axis in 24 hours and 40 minutes. 5b. Find the angle through which Mars rotates on its axis each hour. [3 marks] The time of sunrise on Mars depends on the angle, o, at which it tilts towards the Sun. During a Martian year, o varies from -0. 440 to 0. 440 radians. The angle, w, through which Mars rotates on its axis from the start of a Martian day to the moment of sunrise, at point A, is given by cos w = 0. 839 tan d, OK WS TT . 5c. Show that the maximum value of w - 1. 98, correct to three significant [3 marks] figures.5a. A suitable site for the landing of a spacecraft on the planet Mars is identified at a point, A 21M.3.AHL. 121.1a [2 marks] . The shortest time from sunrise to sunset at point A must be found. Radians should be used throughout this question. All values given in the question should be treated as exact. Mars completes a full orbit of the Sun in 669 Martian days, which is one Martian year. Mars Sun axis On day t, where t E Z. the length of time, in hours, from the start of the Martian day until sunrise at point A can be modelled by a function, R(t), where R(t) - a sin(bt) +c, tER The graph of R is shown for one Martian year. R(!) (hours) 669 t (days)