a boy throws stone with a speed of 12m/s if he releases them at a height 1.25m the maximum distance from his feet where they land is?
i got the answer as 14.4m but the orginal answer is 15.6m...
i used Rmax=u^2/g
So he threw the stone vertically up?
no
If I use the equation \[d = \frac{v^2}{g}\sin(2\theta)\] and set theta to 45, then I get 14.4
i think we have to add 1.25m also
right, but that gives 15.65 instead of just 15.6
can we make a approximate answer
I don't think so. I think the 15.6 answer came from some working out :)
I used \[y = v_0\sin(\theta)t - \frac{1}{2}gt^2\]and solved for t with y = -1.25, v_0 = 12, g = 10, and theta = 45 degrees. Then I took the positive solution and plugged it into\[ x = v_0\cos(\theta)t\]to get something like 15.55 m
something like \[x = \frac{3(\sqrt{194} + 12)}{5}\text{m}\]
let me solve this and i will inform u.......
wat is the t?
After solving that first equation, I got a negative t, and\[t = \frac{\sqrt{97} + 6\sqrt{2}}{10}\]
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