## calculusxy one year ago MEDAL!!! A ball is dropped from a very tall building. Assume no air resistance. What is the velocity of the ball when the distance travelled is 100m?

1. calculusxy

@DanJS

2. DanJS

Did you learn the kinematic equations?

3. DanJS

$\Delta y = V _{0}*t + \frac{ 1 }{ 2 }*g*t^2$

4. DanJS

delta x is 100m, The original Velocity is Zero, and the acceleration of gravity g, is 9.8m/s^2

5. DanJS

Find how long it has fallen t... us that in Final Velocity = a*t

6. DanJS

Or, there is the already combined version $v _{f}^2 = v _{i}^2+2*g*\Delta y$

7. DanJS

just solve for final velocity, everything else is given

8. DanJS

$v _{f}=\sqrt{2*g*\Delta y}$