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A boy throws a rock up an inclined plane with a velocity u. Assuming that the plane makes an angle α with the horizontal and that the rock is thrown at an angle β with respect to the slope, find the position of the rock as a function of time. You may choose the x-y axes along and normal to the slope respectively. Show that the rock hits the ground after a time, t= 2uβ / g cos α. Find the range of the rock and show that it has a maximum value of u^2/[g(1+sin α)].


A boy throws a rock up an inclined plane with a velocity u. Assuming that the plane makes an angle α with the horizontal and that the rock is thrown at an angle β with respect to the slope, find the position of the rock as a function of time. You may choose the x-y axes along and normal to the slope respectively. Show that the rock hits the ground after a time, t= 2uβ / g cos α. Find the range of the rock and show that it has a maximum value of u^2/[g(1+sin α)].


Grade:10

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