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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 30

A cricket ball is struck from a point OOO, which is 2.2 m above the horizontal ground. The ball is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 at an angle α∘ \alpha^\circ\,α∘ to the horizontal. In its subsequent motion, the ball reaches a maximum height of 5.2 m above the ground. The ball passes over a fielder standing at point AAA. When the ball is vertically above AAA, it is 1.2 m above the ground, and A A\,A is at a horizontal distance of 20 m from OOO. The ball is modeled as a particle moving under gravity.

a.

Find the value of UUU.

[6]
b.

Find the size of angle α\alphaα.

[3]
c.

State one limitation of the model that could affect the accuracy of your answers.

[1]
Markscheme

4 Unit A2 2: Applied Mathematics (A-level only) Questions

  1. A Level
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