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## Homework Statement

A catapult projects a stone in the normal direction to a playground which slopes at a angle of 10 degrees to the horizontal.

The initial speed of the stone is 18 m/s. calculate the range parallel to the playground.

## Homework Equations

the usual ones!

## The Attempt at a Solution

My first equation is

**v**= 18cos10

**i**+ 18sin10

**j**

using v = u + at in the y direction with a = -9.8m/s^2 and v = 0 u =18sin10

using this i find that the time that the stone hits the ground is t = 0.32 seconds

now in the x direction x = vt since we ignore air resistance

i obtain 18cos10(0.32) = 5. 8 m

the answer in the back of the book is 11.8 m.

so i am wrong. i think i have interpreted the question incorrectly!

but i have tried setting the angle to 80 degrees, but that came out horribly wrong