Problem 2.37 MC How mach distance is between you and the door when you come to a

Question

Problem 2.37 MC How mach distance is between you and the door when you come to a stop Express your answer using three significant figures Youte diving down the higtway lale one right at 16 m/s when a de st song onthe brakes 0508·d he mexnurn decelerator, of your car is 12 m/ me before d 243 m Correct Significant Figures Feedback Your answer 24 n was ether rourded diffenently or uned a dfferent number of signcan Suses h requred for tis part Part B What is the naunum speed you could have and saeE not ist the d Express yeour answer ssing three significant Sigures Hints .. 28.9 Incorrect: Try Again; no points deducted You cannt ase the same value for e delance raveled drng the reaction tme as betore How far you go duing the reaction tme aso depends on the vaiue of aumn speed

Explanation / Answer

(A) distance travelled during reaction time,

d1 = 16 x 0.50 = 8 m

now distance required to stop,

vf^2 - vi^2 = 2 a d

0^2 - 16^2 = 2 (-12)(d2)

d2 = 10.7 m

total distance travelled = d1 + d2 = 18.7 m

distance remainig = 43 - 18.7 = 24.3 m

(B) suppose speed is v then

d1 = 0.50 v

d2 = 43 - 0.50v

and 0^2 - v^2 = 2(-12)(d2)

v^2 = 24(43 - 0.50 v)

v^2 + 12v - 1032 = 0

v = 26.7 m/s .........Ans

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