In a free jet the pressure is atmospheric throughout the trajectory.
Vox = Vo cosq = constant = Vx
Voy = Vo sinq
x = Vox t
y = Voy t – gt2/2
eliminating t gives,
y = x Voy/Vox – gx2/(2Vox2)
y = x tanq – gx2/(2Vo2 cos2q)
This is the equation of the trajectory.
At the point of maximum elevation, Vy = 0 and application of Bernoulli’s law between the issue point of jet and the maximum elevation level,
Vo2/(2g) = Vox2/(2g) + ym
Since, Vo2/(2g) = Vox2/(2g) + Voy2/(2g)
ym = Voy2/(2g)
Last Modified on: 14-Sep-2014
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