If a rock is thrown upward on the planet Mars with a velocity 12 m/s, its height in meters t seconds later is given by y = 12t − 1.86t^2

Question

If a rock is thrown upward on the planet Mars with a velocity 12 m/s, its height in meters t seconds later is given by y = 12t − 1.86t^2. (Round your answers to two decimal places.) (a) Find the average velocity (in m/s) over the given time intervals.

(i) [1, 2]

(ii) [1, 1.5]

(iii) [1, 1.1]

(iv) [1, 1.01]

(v) [1, 1.001]

(b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t = 1.

Answer 1

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