Posted by KB on .
When a water gun is ﬁred while being held horizontally at a height of 1.14 m above ground level, the water travels a horizontal distance of 4.50 m. A child, holding the same gun in a horizontal position, slides down a 34.0◦ incline at a con stant speed of 1.98 m/s. The child ﬁres the gun when it is 3.25 m above the ground and the water takes 0.708 s to reach the ground. How far will the water travel horizontally

physics 
Steve,
it takes 0.116 seconds for the water to fall 1.14 meters. So, the horizontal speed of the water is 38.68m/s
the sliding child's horizontal speed is 1.98 cos 34.0° = 1.64 m/s. Add that to the 38.68m/s produced by the gun, and the water's horizontal speed is thus 40.32 m/s.
The water travels 40.32 * 0.708 = 28.55 meters. 
physics  oops 
Steve,
Rats. It takes 0.482 seconds to fall 1.14 meters.
Adjust the horizontal speed accordingly.