The time taken by the rock will be 8.77 seconds.
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²
The time will be calculated by using the speed formula.
Speed = Distance \ Time
25.1  = 2.86t² \ t
t  =  25.1 / 2.86
t  =  8.77 seconds
Therefore the time taken by the rock will be 8.77 seconds.
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