# A classical mechanics problem by Pankaj Joshi

Classical Mechanics Level pending

A particle is thrown as shown in the figure . It hits a smooth inclined plane at a point A. If the maximum height attained by the particle can be represented as $$\dfrac{a}{b}$$ where a and b are co-prime integers. Then what is the value of $$a+b$$

Details and assumptions:

$$\bullet$$The distance OP is $$\dfrac{10}{3}$$ m

$$\bullet$$$$u = 5\sqrt5 m/s$$

$$\bullet$$$$\beta$$ $$=$$$$37^{\circ}$$

$$\bullet$$$$\alpha = tan^{-1}(0.5)$$

$$\bullet$$$$g = 10m/s^2$$

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