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The equation for free fall at the surface of some planet (`s` in meters, `t` in seconds) is `s=2.5 t^1`.
How long does it take a rock falling from rest to reach a velocity of `10.5` m/s on this planet? Round your answer to the nearest tenth as needed.
It takes sec for a rock falling from rest to reach a velocity of `10.5` m/s.
The equation `s=2.5 t^2` describes the displacement as a function of time, where `a` is the acceleration due to gravity on the planet. The velocity at any given time `t` can be found by differentiating `s` with respect to `t`. Set this expression equal to the given velocity `v` and solve for `t`.
Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
2.1