Question: A projectile is fired vertically upward and has a position given by s(t) = - 16t + 96t + 112 for Osts 7. Complete parts

A projectile is fired vertically upward and has a position given by s(t) = - 16t" + 96t + 112 for Osts 7. Complete parts (a) (e) below. a. Graph the position function for 0 sis 7. Choose the correct graph below. Each curve is graphed in a [ - 4,7,1] by [0,900, 100] window. O A. O B. O C. Q b. From the graph of the position function, identify the time at which the projectile has an instantaneous velocity of zero; call this time t = a. t= 3 (Type an integer or a decimal.) c. Confirm your answer to part (b) by making a table of average velocities to approximate the instantaneous velocity at t= a. Complete the table below. Interval Slope of secant line 3,3.5 - 8 3,3.1] - 1.6 (3,3.01] -0.16 [3,3.001] - 0.016 [3,3.0001] - 0.0016 (Type integers or decimals. Do not round until the final answer. Then round to four decimal places as needed.) The instantaneous velocity is 0 . (Type an integer or a decimal.) d. For what values of t on the interval [0,7] is the instantaneous velocity positive (the projectile moves upward)? The instantaneous velocity is positive for. (Type an inequality using t as the variable.)
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