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What is the total distance traveled by the object?(A) 32 m(B) 34 m(C) 36 m(D) 38 m

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Chapter 12

Practice Test 2

Section 1

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Hi in the given velocity I'm Kirk. First of all, the curvy starts from the origin. It goes here up to a point where the velocity, if we look carefully, velocity here is seven m per second, then it will end the time. Here is at this point, the time is three seconds. Then this velocity remains constant as seven m per second up to a duration five seconds, then it drops up to a point within next one second. And here, if you look carefully again, the velocity here is three meter per second and that is at a time, six seconds, then it drops fast and at the time of nine seconds it becomes zero and with the same retardation at a time of 11 2nd achieves a value of two m per second in the opposite direction. Yeah, here this is two m per second where this time is nine and here this is 11, so this is velocity time. Now in order to find the total distance covered, this is distance, not their displacement. So we divide this complete curb, mm few regions. First of all, this is even triangular region. Then this is area a two rectangular region. Then this is a three, A trapeze. Iem then 1/4 again a triangle and then a five. The last triangle. You know the basis of all the wrangles which will be measured on the time access. And we know pending colors of all these triangles or rectangles or breath easy. Um so finally the total distance cover will be given by that some of these areas even plus a two plus +83 less. 1/4 plus a five. Now using the formula for the area as this is a triangle. There. Formula for the area of triangle is half into basin to hide. So this is half in two or base. This is 33 seconds for height. This is seven m per second, then plus eight oh, this is a rectangle length into breath or breath. This is five minus three seconds or length. This is seven m per second. Then this is a trapeze. Ium having a formula half into some of parallel sides, which includes seven m per second plus three m per second, multiplied by the gap between them, and that is six minus five seconds. Then again a triangle having to base into heart. Its base will be nine minus six seconds. It will be just three m per second. And finally, this is smaller area half into base and bases 11 minus nine. And why it means perpendicular, That is two m per second. So finally here it becomes 10.5 loss 14. Yes. Why less? 4.5 less two m or finally, when we add all these times we get this, this tends to be equal to 36 m, hence we can see. Yeah, other options see is correct. Thank you

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