What is the average speed, on $t in [0,5]$ , of an object that is moving at $12 m/s$ at $t=0$ and accelerates at a rate of $a(t) =5-2t$ on $t in [0,4]$ ?

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What is the average speed, on $t in [0,5]$ , of an object that is moving at $12 m/s$ at $t=0$ and accelerates at a rate of $a(t) =5-2t$ on $t in [0,4]$ ?

1 Answer

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Answer 1 · 2015-12-27T23:09:58

The average speed is 9.6 m/s

Explanation:

You must consider the equations
$s=s+vt+1/2at^2$
and divide the total path into two parts, one with acceleration and one without acceleration. You find the total distance and the time elapsed and finally use the equation:
$speed=(distance)/(time)$
That's all.

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What is the average speed, on $t in [0,5]$ , of an object that is moving at $12 m/s$ at $t=0$ and accelerates at a rate of $a(t) =5-2t$ on $t in [0,4]$ ?

1 Answer

Explanation:

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What is the average speed, on t in [0,5]t in [0,5], of an object that is moving at 12 m/s12 m/s at t=0t=0 and accelerates at a rate of a(t) =5-2ta(t) =5-2t on t in [0,4]t in [0,4]?

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Explanation:

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What is the average speed, on $t in [0,5]$ , of an object that is moving at $12 m/s$ at $t=0$ and accelerates at a rate of $a(t) =5-2t$ on $t in [0,4]$ ?