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The angular displacement,

`\theta `

radians, of the spoke of a wheel is given by the expression

`\theta =1.2t^(4)-t^(3)`

, where

`t`

is the time in seconds. a) The angular velocity after 2 seconds

`(\omega _(2))`

.

`\omega _(2)=,ra(d)/(sec)`

b) The angular acceleration

`(\alpha _(4))`

after 4 seconds

`\alpha _(4)=ra(d)/(sec^(2))`

c) The time when the angular acceleration is zero

`(t_(0))`

in seconds.

`t_(0)=`

`◻`

Round your answer to 2 decimal places.