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

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Question 95

In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.

A stone is projected from the top of a cliff, 35 m above the sea, with speed 25 m s−1^{-1}−1 at an angle α \alpha\,α above the horizontal. The stone enters the sea at a point 60 m horizontally from the point of projection.

The stone is modelled as a particle moving freely under gravity.

a.

Find the value of α\alphaα.

[6]
b.

Find the speed with which the stone enters the sea.

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

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