sessIon.masteringphysics.com Alternate Exercise 9.105 Resources Chapter 7 and 9

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sessIon.masteringphysics.com Alternate Exercise 9.105 Resources Chapter 7 and 9 Quiz « previous 23 of 23 |return to assignment Alternate Exercise 9.1 05 Part A A fireworks rocket is launched vertically upward and explodes into two equal-mass pieces at the top of its trajectory. The pieces hit the ground 2.37 s and 6.12 seconds after the explosion. What was the rocket's launch speed? Express your answer to two significant figures and include the appropriate units. Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining Provide Feedback Continue

Explanation / Answer

Motion of first fragment

H = Vi*2.37 - ½*g*2.372

H = Vi*2.37 - ½*9.81*2.372

Vi = (H+27.5508945)/2.37

The second fragment has Vi opposite to the first, so
H = Vi*6.12 - ½*g*6.122

H = Vi*6.12 - ½*9.8*6.122

Vi = (H+183.713832)/6.12

(H+183.713832)/6.12 = (H+27.5508945)/2.37
H+183.713832 = 2.582278481*H+71.144082

H = 112.56975/1.582278481
H = 71.144 m

H = V2/(2g)

71.144 = V2/(2*9.81)

V = 37.36 m/s

V = 37 m/s

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