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  3. this question uses the following graph that shows the speed...

Question: this question uses the following graph that shows the speed...

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This question uses the following graph that shows the speed, v, versus time, t, for a light aircraft during take off. 40 35 30 25 E 20 P 15 10- t (s) Mew larger image a. Provide a series of estimates for the planes acceleration at t 3 s by approximating the curve as a straight line between the following intervals: o t 3 s and t7 s (10 marks) b. Based on your estimates from part (a), estimate the acceleration of the aircraft at t 3s. (5 marks) c. Estimate the distance in metres covered by the aircraft during the first 8 seconds of the flight, giving your answer to two significant figures. (5 marks) sin 8x d. Find the limit of the expression-, -as δ# O. (5 marks) expression forsma er and smaller values ofdzand use these to identify a trend.)

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