The diagram above shows a yellow car going around a curve in a road (the broad gray line with a white dashed line) as seen from above. In the diagram, the car is moving to the right and slightly upward (notice the headlights are to the right and the tail lights ar to the left). At its position shown in the diagram, the road has a radius of curvature r of 43 meters. At the time shown in the diagram, the car is speeding up at a rate of 2.2 m/s². Also at this time, the total acceleration of the car (shown by a green arrow in the diagram) has a magnitude of 4.2 m/s?. Calculate the speed of the car, in units of meters per second, and this time. 18

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The diagram above shows a yellow car going around a curve in a road (the broad gray line with a white dashed line) as seen from
above. In the diagram, the car is moving to the right and slightly upward (notice the headlights are to the right and the tail lights are
to the left). At its position shown in the diagram, the road has a radius of curvature r of 43 meters. At the time shown in the
diagram, the car is speeding up at a rate of 2.2 m/s?. Also at this time, the total acceleration of the car (shown by a green arrow in
the diagram) has a magnitude of 4.2 m/s?.
Calculate the speed of the car, in units of meters per second, and this time.
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Transcribed Image Text:a The diagram above shows a yellow car going around a curve in a road (the broad gray line with a white dashed line) as seen from above. In the diagram, the car is moving to the right and slightly upward (notice the headlights are to the right and the tail lights are to the left). At its position shown in the diagram, the road has a radius of curvature r of 43 meters. At the time shown in the diagram, the car is speeding up at a rate of 2.2 m/s?. Also at this time, the total acceleration of the car (shown by a green arrow in the diagram) has a magnitude of 4.2 m/s?. Calculate the speed of the car, in units of meters per second, and this time. .-----
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