A wheel is rotating about an axis that is in the zz$-$direction. The angular velocity zz is $-6\mathrm{.}00$ rad$/$srad$/$s at tt $=0,$ increases linearly with time, and is $+4\mathrm{.}00$ rad$/$srad$/$s at tt $=14\mathrm{.}0$ ss$.$ We have taken counterclockwise rotation to be positive.

Part A

Is the angular acceleration during this time interval positive or negative?

positivenegative

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Part B

How long is the time interval during which the speed of the wheel is increasing?

Express your answer with the appropriate units.

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t$1$t$1=$

nothingnothing

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Part C

How long is the time interval during which the speed of the wheel is decreasing?

Express your answer with the appropriate units.

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t$2$t$2=$

nothingnothing

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Part D

What is the angular displacement of the wheel from tt $=0$ ss to tt $=14\mathrm{.}0$ ss$?$

Express your answer in radians.

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$=$

nothing

radrad

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