A catapult is tested by Roman legionnaires.They tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units): Range = 0.20 km;
Angle of launch = π/4; landing height = launch height.What is the initial velocity of launch of the boulders if air resistance is negligible?
A) 44 m/s
B) 1.4 m/s
C) 22 m/s
D) 0.69 m/s

Question

Quizplus · Accepted Answer

Explanation:The range of a projectile is given by:R = (v^2 * sin(2θ)) / gwhere v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.In this case, we have:R = 0.20 km = 200 mθ = π/4g = 9.81 m/s^2Solving for v, we get:v = √(Rg / sin(2θ))= √(200 m * 9.81 m/s^2 / sin(π/2))= 44 m/sTherefore, the initial velocity of launch of the boulders is 44 m/s.

A Catapult Is Tested by Roman Legionnaires