What is the average speed of an object that is moving at $2 m/s$ at $t=0$ and accelerates at a rate of $a(t) =t-1$ on $t in [1,2]$ ?

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What is the average speed of an object that is moving at $2 m/s$ at $t=0$ and accelerates at a rate of $a(t) =t-1$ on $t in [1,2]$ ?

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Answer 1 · 2016-02-13T21:57:16

$v_a=5/2 m/s$

Explanation:

$v_a=int_1^2 v(t) d t$
$v_a=int _1^2 (t-1)*d t$
$v_a=[t^2/2-t]_1^2+C$
$t=0" ," v=2 m/s" , "C=2 m/s$
$v_a=[2^2/2-2]-[1^2/2-1]+2$
$v_a=[0]-[-1/2]+2$
$v_a=1/2+2$
$v_a=5/2 m/s$

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What is the average speed of an object that is moving at $2 m/s$ at $t=0$ and accelerates at a rate of $a(t) =t-1$ on $t in [1,2]$ ?

1 Answer

Explanation:

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Explanation:

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What is the average speed of an object that is moving at $2 m/s$ at $t=0$ and accelerates at a rate of $a(t) =t-1$ on $t in [1,2]$ ?