Answer:
3.91m/s
Step-by-step explanation:
We can use the equation h=16t^2 to find the height in feet for a free-falling object. The height from the bridge to the water is h=16(0.4)^2=16(0.16)=2.56 ft
Next, we use the equation v=sqrt(2gh) to determine velocity from vertical height. First we must convert feet to meters as velocity is measured in m/s. 2.56ft is about 0.78 meters. Since h=0.78m from the previous equation and g=9.81m/s^2, then your velocity is v=sqrt(2*9.81*0.78)=sqrt(15.3036)=3.911981595
So, your speed/velocity is approximately 3.91m/s