+0/0.15 pointsPrevious AnswersAsk Your TeacherSCalcET8 5.1.017.My Notes5.The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied. (Use M6 to get the most precise estimate.)X ftv (ft/s)906030t (seconds)246Enhanced FeedbackPlease try again. To estimate the distance the car traveled while braking, find an estimate for the area under the velocity graph using rectangles. Use midpoints for the most accurateestimateNeed Help?Read ItTalk to a TutorWatch It

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Asked Oct 6, 2019
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I am nee help with estimating the values for evaluation. please advise.

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SCalcET8 5.1.017.
My Notes
5.
The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied. (Use M6 to get the most precise estimate.)
X ft
v (ft/s)
90
60
30
t (seconds)
2
4
6
Enhanced Feedback
Please try again. To estimate the distance the car traveled while braking, find an estimate for the area under the velocity graph using rectangles. Use midpoints for the most accurate
estimate
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Talk to a Tutor
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+0/0.15 points Previous Answers Ask Your Teacher SCalcET8 5.1.017. My Notes 5. The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied. (Use M6 to get the most precise estimate.) X ft v (ft/s) 90 60 30 t (seconds) 2 4 6 Enhanced Feedback Please try again. To estimate the distance the car traveled while braking, find an estimate for the area under the velocity graph using rectangles. Use midpoints for the most accurate estimate Need Help? Read It Talk to a Tutor Watch It

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Expert Answer

Step 1

We have been provided with speed time graph. Distance travelled = area under the speed time grpah till the time speed becomes zero. So, please see the graph now. We need to calculate ghe area under the pink line between the limits t = 0 to t = 6 second (this is when the car comes to halt)

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v (ft/s) 90 60 30 t(seconds) 0 2 4

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Step 2

In order to calculate this, we will approximate the area under the curve by dividing the area into multiple regions. For the purpose of approximation we will assume that all the points of intersection are the mid points.

Please see the chart above

Total area = Area of triangle ABC + Area of rectangle OBCH + Area of triangle CDE + Area of rectangle HDEF + Area of triangle EFG

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v (ft/s) A 90 B 60 D 30 G t(seconds) F 0 2 4 T

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Step 3

OA = 105, OB = CH = 75; Hence AB = OA - OB = 105 - 75 = 30; BC = 1; DH = ...

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v (ft/s) A 90 60 D 30 (seconds) 0 H 4 L T

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