Take g = 10 ms in this question. Air resistance should be neglected. A ball is...

 

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Take g = 10 ms² in this question. Air resistance should be neglected. A ball is thrown from a point O with a velocity of 15 ms-¹ at an angle of 0 to the horizontal, where cos 0 = 0.6 and sin 0 =0.8. The diagram below shows x- and y-axes drawn through O, the point of projection. The units of the axes are metres. YN K 15 ms-¹ X (a) Show that, after time t seconds, the position of the ball is given by x = 9t, y = 12t-5t². (b) Show that the equation of the ball is y=x-gx². (c) Hence calculate how far from the origin the ball lands. Take g = 10 ms² in this question. Air resistance should be neglected. A ball is thrown from a point O with a velocity of 15 ms-¹ at an angle of 0 to the horizontal, where cos 0 = 0.6 and sin 0 =0.8. The diagram below shows x- and y-axes drawn through O, the point of projection. The units of the axes are metres. YN K 15 ms-¹ X (a) Show that, after time t seconds, the position of the ball is given by x = 9t, y = 12t-5t². (b) Show that the equation of the ball is y=x-gx². (c) Hence calculate how far from the origin the ball lands.