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An Unfinished Road* While chatting on his phone, Joe drives his car at a constan

ID: 2102047 • Letter: A

Question

An Unfinished Road* While chatting on his phone, Joe drives his car at a constant 29 m/s up a 16 degrees bridge ramp, not realizing that the road was never finished. The road ends suddenly when it is a height 12.5 m above the ground. Ignore air drag. Part C What is the vertical component of the velocity of Joe's car the instant before it strikes the ground? Use up as the positive direction. m/s
Part D What is the horizontal component of the velocity of Joe's car the instant before it strikes the ground? Use right as the positive direction. m/s
Part E What is the speed of Joe's car the instant before it strikes the ground? m/s
An Unfinished Road* While chatting on his phone, Joe drives his car at a constant 29 m/s up a 16 degrees bridge ramp, not realizing that the road was never finished. The road ends suddenly when it is a height 12.5 m above the ground. Ignore air drag. While chatting on his phone, Joe drives his car at a constant 29 m/s up a 16 degrees bridge ramp, not realizing that the road was never finished. The road ends suddenly when it is a height 12.5 m above the ground. Ignore air drag. Part C What is the vertical component of the velocity of Joe's car the instant before it strikes the ground? Use up as the positive direction. m/s
Part D What is the horizontal component of the velocity of Joe's car the instant before it strikes the ground? Use right as the positive direction. m/s
Part E What is the speed of Joe's car the instant before it strikes the ground? m/s
Part C What is the vertical component of the velocity of Joe's car the instant before it strikes the ground? Use up as the positive direction. m/s
Part D What is the horizontal component of the velocity of Joe's car the instant before it strikes the ground? Use right as the positive direction. m/s
Part E What is the speed of Joe's car the instant before it strikes the ground? m/s
Part C What is the vertical component of the velocity of Joe's car the instant before it strikes the ground? Use up as the positive direction. m/s
Part C What is the vertical component of the velocity of Joe's car the instant before it strikes the ground? Use up as the positive direction. m/s
m/s
Part D What is the horizontal component of the velocity of Joe's car the instant before it strikes the ground? Use right as the positive direction. m/s
Part D What is the horizontal component of the velocity of Joe's car the instant before it strikes the ground? Use right as the positive direction. m/s
m/s
Part E What is the speed of Joe's car the instant before it strikes the ground? m/s
Part E What is the speed of Joe's car the instant before it strikes the ground? m/s
m/s
m/s

Explanation / Answer

equation of path

-12.5=xtan(16)-1/2*gx^2/(ucos16)^2

0.006311x^2-0.2867x-12.5=0

X=72.68 m

72.68=29c0s(16)*t

t=2.6078 sec
C)Vx=29 cos(16)=27.87m/s

D)Vy=-29sin(16)-g*2.6078=-33.57 m/s

E)V=(Vx^2+Vy^2)^1/2=43.63 m/s

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