If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t seconds is given by y = 42t - 16t². (a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following. (1) 0.5 seconds 10 (ii) 0.1 seconds 2 (iii) 0.05 seconds 1 (iv) 0.01 seconds 0.2 m ft/s X ft/s X ft/s X ft/s (b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. 3.3 X ft/s

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