Kinematics Forces: Help with Archerfish Targeting & Reaction Time

[Huskies213]

Can anyone Help with this ?

As discussed in Example 4-7, the archerfish hunts by dislodging an unsuspecting insect from its resting place with a stream of water expelled from the fish's mouth. Suppose the archerfish squirts water with a speed of 1.6 m/s at an angle of 59.0° above the horizontal, and aims for a beetle on a leaf 3.0 cm above the water's surface.

-At what horizontal distance from the beetle should the archerfish fire if it is to hit its target in the least time?

-How much time will the beetle have to react?

Thanks

 

[moose]

Break up the speed into x and y components. You have an equation which solves for y height. You can use that one to solve for the time. Then, you should know how to do the rest ;)