2117/2017 10:00 PM TTloo Print LCalculator Periodic Table estion 13 of 13 Saplin

Question

2117/2017 10:00 PM TTloo Print LCalculator Periodic Table estion 13 of 13 Sapling Learning walking the edge of platform approaches from the following expressions give the of Avery and the train relative to platform. The positive direction is to the East. AP 1.66 m/s) (0.21 m/s')t (11.4 m/s)- 0.11 m/s)r 2.11 m/s t+ Bodhi and Didier are walking in the aisles of the train cars. The following expressions give their velocities relative to the train, with positive speeds pointing to the front of the train BT 1.18 m/s (0.17 m/s vDr 31 m/s) (o.13 m/s t Most Positive Relative Acceleration Rank the pairs of people based on the acceleration of the first relative to the second at t 4.1 s, BT o Previous Check Answer o

Explanation / Answer

The velocity of a Avery with repects to platform is

VAP = -(1.66 m/s) + (0.21 m/s^2)*t

The acceleration of Avery is

aAP = d/dt(-(1.66 m/s) + (0.21 m/s^2)*t)

= 0.21 m/s^2

The velocity of a Train with repects to platform is

VTP = (11.4 m/s) - (2.11 m/s^2)*t + 1/2*(0.11 m/s^3)*t^2

The acceleration of train is

aTP = d/dt((11.4 m/s) - (2.11 m/s^2)*t + 1/2*(0.11 m/s^3)*t^2)

= -(2.11 m/s^2) + (0.11 m/s^3)*4.1 s

= -1.659 m/s^2

The velocity of Bodhi with respect to train is

VBT = (1.18 m/s) - (0.17 m/s^2)*t

The acceleration of Bodhi is

aBT = d/dt((1.18 m/s) - (0.17 m/s^2)*t)

= -0.17 m/s^2

The velocity of Dilier with respect to train is

VDT = -(1.31 m/s) + (0.13 m/s^2)*t

The acceleration of Dilier is

aDT = d/dt(-(1.31 m/s) + (0.13 m/s^2)*t)

=0.13 m/s^2

Relative acceleration

1. Dilier/Avery aDA = aD - aA

= aDT - aAP+ aTP
  
= -1.739 m/s^2

2. Dilier/Bodhi aDB = aD - aB

= aDT - aBT

= +0.3 m/s^2

3. Bodhi/Avery aBA = aB - aA

= aBT - aAP + aTP

= -2.039 m/s^2

4. Avery/Dilier aAD = aA - aD

= aAP - aDT - aTp

= +1.739 m/s^2

5. Avery/Bodhi aAB = aA - aB

= +2.039 m/s^2

6. Bodhi/Dilier aBD = aB - aD

= -0.3 m/s^2

Avery/Bodhi > Avery/Dilier > Dilier/Bodhi > Bodhi/Dilier > Dilier/Avery > Bodhi/Avery

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