Your medieval history class is constructing a trebuchet, a catapult-like weapon

Horizontal range, R = vo^2*sin(2*theta)/g Rmax = vo^2/g it happens when theta = 45 degrees

ID: 2275630 • Letter: Y

Question

Your medieval history class is constructing a trebuchet, a catapult-like weapon for hurling stones at enemy castles. The plan

is to launch stones off a high cliff, with initial speed . Some members of the class think a 45 degree launch angle will give the

maximum range, but others claim the cliff height makes a difference.

Find an expression for the angle that will maximize the range of a projectile launched with speed from height above level ground.

Express your answer in terms of the variables , , and appropriate constants.

Please solve this step by step

Horizontal range, R = vo^2*sin(2*theta)/g

Rmax = vo^2/g

it happens when theta = 45 degrees

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