A soccer ball is booted from the ground at an angle of θ = 44 degrees with respect to the horizontal. The ball is in the air for a time t = 1.1 s before it lands back on the ground. Numerically, what is the total horizontal distance, d in meters, traveled by the ball in the time, t?
d = (v₀ * cos(θ) * t) = (25.3 m/s * cos(44°) * 1.1 s) = 17.7 m
Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 18 m/s at an angle θ = 28.5° above horizontal. Assume the water acts as a projectile that moves without air resistance.
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 an expression in terms of v0, θ, and g.