Evaluate the expression 3+ [5(2-3) - 6]
2 answers:
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The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.
To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.
By definition of absolute value,
Over this particular integration interval,
• sin(<em>t</em> ) ≥ 0 for 1 ≤ <em>t</em> < <em>π</em>, and
• sin(<em>t</em> ) < 0 for <em>π</em> < <em>t</em> ≤ 5
so you end up splitting the integral at <em>t</em> = <em>π</em> as
Now compute the distance:
making B the correct answer.
The length of the ladder nearest hundredth of a foot is 23 feet.
We have given that,
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.
The ladder makes an angle of the ground.
Therefore we get,
Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.
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