The position of an elevator varies with time according to this function

$p (t) = x^{2} + 2 x + 3$

What will be the velocity of the elevator at time t = 4 secs

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The position of an elevator varies with time according to the function $x (t) = t^{2} + 4 t + 3$

What will be the velocity (in $m/s$ ) of the elevator at time $t = 4 s$

The position of an elevator varies with time according to the function $x (t) = t^{2} + 2 t + 3$

Find the
$(1)$ average velocity between time interval $t = 0 s$ to $t = 2 s$ .
$(2)$ instantaneous velocity of the elevator at time $t = 3 s$ .

a = - s ω^{2} sin ω t

t

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