1 A diver jumps from a cliff into the water below The path of the diver is given by the function f x t 4t 12 where f is the

Question

1 A diver jumps from a cliff into the water below The path of the diver is given by the function f x t 4t 12 where f is the height of the diver above water level in metres after t seconds Hassan calculated the following average rates of change in the height of the diver over the following intervals 1 1 1 st 2 AROC 1m s ii 2 st 3 AROC 1m s iii 3 st 4 AROC 3m s Based on these values which of the following statements is FALSE about this situation a The AROC from 3 to 4 seconds is a smaller negative value therefore it implies that the diver is slowing down as it gets closer to the ground b The AROC from 1 to 2 sec is that same as the AROCI for 2 to 3 sec and since the first AROC is positive and the second is negative it implies that a maximum height was reached in the middle at 2 seconds c The diver was at first increasing in height and then decreasing to the AROCS changing from positive values to negative values

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