I keep getting wrong answers If you find any of these answers, they are wrong 29

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I keep getting wrong answers

If you find any of these answers, they are wrong 290 and 122, 206 and 122, 158

Please provide correct answers

A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the velocities in the table are recorded. Time since brakes applied (sec) 0 2 46 Velocity (ft/sec) 84 4318 0 (a) Using left- and right-hand sums, give lower and upper estimates of the distance the car traveled (in feet) after the brakes were applied. x ft X ft lower estimate 206 pper estimate 122

Explanation / Answer

Give upper and lower estimates for the distance the car traveled after the brakes were applied.

The left sum will give an upper estimate and the right sum will give a lower estimate of the distance traveled since velocity is decreasing over the interval from t = 0 to t = 6.

upper estimate would be:
he moves at 89ft/s for 2 seconds, 45ft/s for the next 2 seconds, and 16ft/s for the next 2 seconds

Left Sum= upper = 84 (2) + 43 (2) + 18 (2) = 290 feet

lower estimate
moves at 43ft/s for 2 seconds, and 18ft/s for the next 2 seconds, and 0ft/s for the next 2 seconds

Right Sum= 43 (2) + 18 (2) + 0(2) = 122 feet

Therefore, the total distance the car traveled after the brakes were applied is between 268 ft and 290 ft.

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