I cant figure out this problem. I need help please!! WiryPLUS httpajedugen.wilky

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I cant figure out this problem. I need help please!!

WiryPLUS httpajedugen.wilkyplus.comedugen ltifmainun ignment BACK s Cha Chapter 04, Problem 042 In 1939 or 1940, Emanuel Zacchini took his human-cannonball act to an extreme: Aftsr teing shot from a canmnon, he snared over three Ferris wheels and inmo a net (see the figure Assume that he s launched withspeed of 27 m/s and at an angle of 54, a, Tr ting tin as a partide akure his d'rete aurt e sowed (b) yhe eached maxdimum height over the middle wiheel, by hom much did he dear t? (c) How far troms the cannon should the net's center have been positioned (neglect ar drag) 7-27 Om 4 0m Ne 22m uty (a) Numbe (b) Number (c) Number Urits

Explanation / Answer

(A) time taken to reach first,

in horizontal, d_x = (v0x) t

22 = (27 cos54) t

t = 1.386 sec

in vertical, yf - yi = v0y t + ay t^2 / 2

y - 4 = (27 sin54)(1.386) + (-9.8)(1.386^2)/2

y = 24.9 m  

clearing distance = 24.9 - 16 = 8.9 m ........Ans

(B) at max height, vy = 0

vfy^2 - v0y^2 = 2 a (yf - yi)

0^2 - (27 sin54)^2 = 2(-9.8)(y - 4)

y = 28.3 m

clearing distance = y - 16 = 12.3 m

(C) in vertical, yf - yi = v0y t + ay t^2 /2

4 - 4 = (27 sin54)t + (-9.8 t^2 / 2)

t = 4.46 sec ,...... time taken to reach the net

in horizontal,

R = (v0x) t = (27 cos54)(4.46) = 70.7 m .....Ans

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