Question

You roll a car along a flat track, but find the acceleration is different traveling one...

You roll a car along a flat track, but find the acceleration is different traveling one direction as compared to the other because one direction was uphill (slightly) and the opposite direction was downhill (slightly). This means that aexperiment= atrack ± aℎill where the plus/minus depends on whether it's uphill/downhill. If you find acontrol = −3.5 cm/s^2 and aopposite=−6.7 cm/s^2 , what is atrack and what is aℎill in this case?

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Answer #1

given

aexperiment= atrack ± aℎill

a(control)=a(track) + a(ℎill)=−3.5cm/s^2

a(opposite) = a(track) - a(ℎill)== −6.7cm/s^2

add above two equation

2a_track = - 10.2 cm/s^2

a_track= - 5.1 cm/s^2

a_control=- 5.1 cm/s^2 + a(ℎill)=−3.5cm/s^2

a_ℎill = + 1.6 cm/s^2

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