Answer:
a). v=2776 m/s
Explanation:
The speed of the water droplet for the fish be successful is
Taking the distance in axis 'x' and 'y'
[tex]x_{tx}=40cm\frac{1m}{100cm}=0.40m\\x_{ty}=23cm\frac{1m}{100cm}=0.23m[/tex]
The time is the velocity in axis 'x' with the angle 70 so
[tex]t=\frac{0.40m}{v_{x}*cos(70)}[/tex]
Now using the time in terms of velocity the motion in axis 'y' can find the velocity to be the fish successful
[tex]x_{yf}=x_{yo}+v_{o}*t+\frac{1}{2}*g*t^{2}\\0.23m=0.40m\frac{vo*sin(70)}{vo*cos(70)} +\frac{1}{2}*9.8*(\frac{0.40}{vo*cos(70)} )^{2}\\0.23m=0.40m*vo*tan(70)+4.9*(\frac{0.16m^{2} }{vo^{2} *cos(70)^{2} }) \\vo^{2}cos(70)^{2}=\frac{0.16m^{2} }{0.177}\\vo=\sqrt{\frac{0.9021}{cos(70)^{2}}} \\vo=2.776 \frac{m}{s}[/tex]
