a water jet coming out of the small opening O of a fountain reaches its maximun height of 4 metres - Maths - Conic Sections

Question

a water jet coming out of the small opening O of a fountain
reaches its maximun height of 4 metres at a distance of 0 5 metre
from the vertical find the height of the jet above the horizontal
OX at a distance of 0 75 m from the point O
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Ayush Jha · Accepted Answer

We have to find the height of the jet above the horizontal OX at a distance of 0 75 m from the point O

Assume the co-ordinate system as mentioned in the above diagram The flow of the water jet follows the path of a projectile whose equation could be, $x^{2} = - 4 a y$ Now the parabola passes through (-0 5,-4) so, $0 25 = - 4 (4) a a = \frac{1}{64}$ We have to find the y-coordinate of the point when x=0 25 So, ${(0 25)}^{2} = - 4 (\frac{1}{64}) k k = 0 0625 (- 16) = - 1 m$ Therefore the height of the jet above the horizontal OX at a distance of 0 75 m from the point O is 1m

a water jet coming out of the small opening O of a fountain reaches its maximun height of 4 metres at a distance of 0.5 metre from the vertical. find the height of the jet above the horizontal OX at a distance of 0.75 m from the point O.rn

a water jet coming out of the small opening O of a fountain reaches its maximun height of 4 metres at a distance of 0.5 metre from the vertical. find the height of the jet above the horizontal OX at a distance of 0.75 m from the point O.
rn