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Throwing Upwards and Forwards

A ball is kicked at 30° to the horizontal at a speed of 15ms-1 from a point 21 m above the ground where it lands.Find the horizontal range.In order to find the horizontal range you have to find the vertical time of flight. Then use s = u t.
Use s = ut + ½at2 to give-21 = (15sin30)t + ½(-9.81)t2 giving
t = 15sin30 + √[(-15sin30)2 - 4(4.905)(-21)]
2(4.905)
  =2.97s
The horizontal range is (15cos30)t = 13.0 × 2.97 = 38.6 m.

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Specification: Edexcel Physics (8PH0), AS-level, Topic 2: Mechanics. Topic: Motion.

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