A diver on a high-diving board 3.0 m above the water springs upward with a velocity of 1.6 m/s(up). With what velocity does she hit the water? Show your complete solution.

The equation of motion with constant acceleration is given by,
v^{2} = u^{2} + 2as
The initial velocity, u, is 1.6 m/s, the acceleration due to gravity, a = -9.81\frac{m}{s^{2}}
The displacement is negative at the highest point , so s = -3.0 m
Substituting these in the equation we get
v^{2} = \Big(1.6 \frac{m}{s}\Big)^{2} + 2 \times \Big(-9.8 \frac{m}{s^{2}}\Big) \times (-3.0 m)
v^{2} = 2.56 \frac{m^{2}}{s^{2}} + 58.8 \frac{m^{2}}{s^{2}}
v^{2} = 61.36 \frac{m^{2}}{s^{2}}
v = 7.833 \frac{m}{s}
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3.5 Free Fall – University Physics Volume 1
Acceleration due to gravity is constant, which means we can apply the kinematic equations to any falling object where air resistance and friction are ...
For more information, see 3.5 Free Fall – University Physics Volume 1