webwork.phys.yorku.ca. 2 (1 point) THE PROBLEM You have invented a gun that can

Question

webwork.phys.yorku.ca. 2 (1 point) THE PROBLEM You have invented a gun that can throw a baseball. The initial speed is always the same. When aimed straight up, the baseball reaches a maximum height of h-18 m. (a) Where should you aim to have the baseball hit the ground as far from you as possible? (b) Calculate the maximum horizontal distance for part (a). It is the distance from the gun to where the baseball landed. PAPER SOLUTION INTERPRET DEVELOP You should aim at degrees above the horizontal. Derive an algebraic expression for the horizontal distance of the baseball's flight. EVALUATE

Explanation / Answer

Here,

let the initial speed of the baseball is v

maximum height = v^2/(2g)

18 = v^2/(2 * 9.8)

solving for v

v = 18.8 m/s

a) for the longest distance

angle = 45 degree above the horizontal

b)

d = u^2 * sin(2 *theta)/g

d = 18.8^2 * sin(90 degree)/9.8

d = 36 m

the horizontal distance d is 36 m

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