As a newly qualified junior Mechanical Engineer working for a consultancy company offering research and expertise on green powered vehicles. You have been asked to analyse several scenarios relating to green power cars, electric trains and methods of propulsion for rockets. You will need to analyse factors such as work, energy and momentum as vehicles are subjected to various propulsion methods. Task 1 a) A small rocket is launched vertically from rest and reaches a maximum altitude "h." The acceleration is constant at 11 ms until the fuel burns out after 5.4 seconds Assuming that from the point of burnout onwards the rocket is traveling freely vertically upwards with constant deceleration: Take: g= 9.81ms Determine the maximum altitude 'h'? b) An electric train accelerates uniformly from rest to reach 45 km/h in 5 mins, after which the speed is kept constant. Determine the total time taken to travel 10 kilometers? c) A drop forge hammer used in manufacturing green trains falls from rest through a height of 5.4m on to a forging. Find the downward velocity of the hammer when it strikes the forging.