2. 2/3 points | Previous Answers SerCP10 2.P.035 My Notes Ask Your Teacher Speed

Question

2. 2/3 points | Previous Answers SerCP10 2.P.035 My Notes Ask Your Teacher Speedy Sue, driving at 33.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 160 m ahead traveling at 5.20 m/s. Sue applies her brakes but can accelerate only at -1.70 m/s because the road is wet. Will there be a collision? Yes No If yes, determine how far into the tunnel and at what time the collision occurs. If no, determine the distance of closest approach between Sue's car and the van. (If no, enter "O" for the time.) distance202.33 8.14 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. s time Submit Answer Submit Answer Save PrgessPractice Another Version Save Progress

Explanation / Answer

so we want to know if ysue = yvan

ysue = 33*t +0.5*-1.7*t^2

ycar = 160 + 5.2 t

so
33*t +0.5*-1.7*t^2 = 160 + 5.2 t

t= 7.45 s

so yes a collision

b)already found time

ycar = 160 + 5.2*7.45= 198.74 m

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