A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff after t seconds is s(t) = 16t². Assume the distance from the top of the cliff to the water below is 784 ft. Answer part (a) and (b). (a) When will the rock strike the water? The rock will strike the water at 7 seconds. (Type an integer or a simplified fraction.) (b) Make a table of average velocities and approximate the velocity at which the rock strikes the water. [6.5, 7] [6.9, 7] [6.999, 7] Time Interval Average Velocity [6.99, 7] U [6, 7] (ft/sec) (Type an integer or decimal rounded to three decimal places as needed.) The rock strikes the water at approximately (Round to the nearest integer as needed.) ft/sec.

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A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff after t seconds is s(t) = 16t². Assume the distance from the top of the cliff to the
water below is 784 ft. Answer part (a) and (b).
(a) When will the rock strike the water?
The rock will strike the water at 7 seconds.
(Type an integer or a simplified fraction.)
(b) Make a table of average velocities and approximate the velocity at which the rock strikes the water.
[6.5, 7]
[6.9, 7]
[6.999, 7]
Time Interval
Average Velocity
[6.99, 7]
U
[6, 7]
(ft/sec)
(Type an integer or decimal rounded to three decimal places as needed.)
The rock strikes the water at approximately
(Round to the nearest integer as needed.)
ft/sec.
Transcribed Image Text:A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff after t seconds is s(t) = 16t². Assume the distance from the top of the cliff to the water below is 784 ft. Answer part (a) and (b). (a) When will the rock strike the water? The rock will strike the water at 7 seconds. (Type an integer or a simplified fraction.) (b) Make a table of average velocities and approximate the velocity at which the rock strikes the water. [6.5, 7] [6.9, 7] [6.999, 7] Time Interval Average Velocity [6.99, 7] U [6, 7] (ft/sec) (Type an integer or decimal rounded to three decimal places as needed.) The rock strikes the water at approximately (Round to the nearest integer as needed.) ft/sec.
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