A water jet from a function reaches it maximum height of 4 m at a distance 0.5 m from the vertical passing through the point `O` of water outlet. The height of the jet above the horizontal `O X` at a distance of 0.75 m from the point `O` is 5 m (b) 6 m (c) 3 m (d) 7 m

Options

A. 5 m
B. 6 m
C. 3 m
D. 7 m

Answer

C

Explanation

(3) The path of the water jet is a parabola.
Let its equation be
`y=ax^(2)+bx+c`
It should pass through (0,0), (0.54), and (1,0). Therefore,
c=0, a=-16, b=16
`:.y=-16x^(2)+16x`
If x=0.75, then y=3.