Final answer:
To determine the average speed of the projectile, we need to calculate the total distance traveled and divide it by the total time taken. We can use equations for vertical and horizontal motion to determine the distances. Once we have the values, we can calculate the average speed.
Step-by-step explanation:
To determine the average speed of the projectile during its flight, we need to calculate the total distance traveled by the rock and divide it by the total time taken. In this case, the rock lands 30.0ft above the ground and 160ft horizontally from the projection point. To determine the vertical distance, we can use the equation:
Y = Y0 + V0sin(θ)t - (1/2)gt^2
where Y = 30.0ft, Y0 = 0ft (initial height), V0 is the initial vertical velocity (which we can find using V0 = Vsin(θ)), θ is the unknown angle above the horizontal, t = 5s, and g is the acceleration due to gravity.
Similarly, to determine the horizontal distance, we can use the equation:
X = X0 + V0cos(θ)t
where X = 160ft, X0 = 0ft (initial horizontal position), and V0 is the initial horizontal velocity (which we can find using V0 = Vcos(θ)).
Once we have the values of V0 and θ, we can calculate the average speed by dividing the total distance traveled by the total time taken.