Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 16 m/s at an angle θ = 25.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position, as shown. a) Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. b) At what horizontal distance d from the building base, where should the fireman place the hose for the water to reach its maximum height as it strikes the building? Express this distance, d, in terms of v0, θ, and g.

Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 16 m/s at an angle θ = 25.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position, as shown.

a) Using v₀, θ, and g, write an expression for the time, t_max, the water travels to reach its maximum vertical height. 

b) At what horizontal distance d from the building base, where should the fireman place the hose for the water to reach its maximum height as it strikes the building? Express this distance, d, in terms of v0, θ, and g.