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What is the average speed of an object that is not moving at $t=0$ and accelerates at a rate of $a(t) =t+2$ from $t in [0, 1]$ ?

1 Answer

Feb 13, 2016

$v_a=2,5 m/s$

Explanation:

$v_a=int _0^1 (t+2)*d t$
$v_a=[t^2/2+2t]_0^1 +C$
$v_a=[1/2+2*1]-[0]+C$
$v_a=5/2+C$
$"if t=0 then v=0 ;C=0"$
$v_a=5/2+0$
$v_a=2,5 m/s$

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