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At t=0 a truck starts from rest at x=0 and speeds up in the positive x -direction on a straight road with acceleration a_(T) .

At

t=0

a truck starts from rest at

x=0

and speeds up in the positive

x

-direction on a straight road with acceleration

a_(T)

. At the same time,

t=0

, a car is at

x=0

and traveling in the positive

x

-direction with speed

v_(C)

. The car has a constant negative

x

-acceleration:

a_(car- )=-a_(C)

, where

a_(C)

is a positive quantity. At what time does the truck pass the car?\ Express your answer in terms of the variables

v_(C),a_(C)

, and

a_(T)

.

image text in transcribed
At t=0 a truck starts from rest at x=0 and speeds up in the positive x-direction on a straight road with acceleration aT. At the same time, t=0, a car is at x=0 and traveling in the positive x-direction with speed vC. The car has a constant negative x-acceleration: acarx=aC, where aC is a positive quantity. At what time does the truck pass the car? Express your answer in terms of the variables vC,aC, and aT

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