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The position of a particle moving on the...

The position of a particle moving on the x-axis is given by `x=t^(3)+4t^(2)-2t+5` where `x` is in meter and `t` is in seconds
(i) the velocity of the particle at `t=4 s` is `78 m//s `
(ii) the acceleration of the particle at `t=4 s` is `32 m//s^(2)`
(iii) the average velocity during the interval `t=0` to `t=4 s `is `30 m//s`
(iv) the average acceleration during the interval `t=0` to `t=4 s` is `20 m//s^(2)`

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