A ball is projected vertically upwards with an initial speed of 10 m s1 at a hei

A ball is projected vertically upwards with an initial speed of 10 m s1 at a height of 2.5m above the ground. In part (a) ignore all frictional forces.(a) (i) Draw a force diagram for the ball while it is in motion. [1](ii) Dene appropriate coordinate axes and an origin and state theinitial velocity and initial displacement in terms of the unitvectors and origin that you have chosen. [2](iii) Determine in terms of the magnitude of the acceleration due togravity g the maximum height that the ball reaches above thepoint of projection and the time taken to reach this position. [3](iv) Determine the speed at which the ball hits the ground correct to two decimal places taking the value of g to be 9.81m s2. [2]In the remainder of the question revise this model by taking air resistanceinto account.Model the ball as a sphere of diameter D and mass m andassume that the quadratic model of air resistance applies.

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