A projectile is to be fired from the centre of the top of a building that is 100 m tall. It will be fired at an angle of 60o to the horizontal and at a speed of 20 ms−1 . (a) Find an expression for the position vector of the projectile at time t seconds. (b) How long it will take for the projectile to hit the ground? (c) How far away from the the centre of the building will the projectile be when it hits the ground? You may neglect air resistance and you may assume there are no cross winds etc. (Make sure you show all your working.)

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