A physics student tests the theory of projectile motion by leaping off a 225 meter tall building. She runs off the building horizontally at 12.5 m/s. How far away from the base of the building should she place the safety net?
In this item, we are given with the x-component of the velocity. The y-component is equal to 0 m/s. The time it takes for it to reach the volume can be related through the equation,
d = V₀t + 0.5gt²
Substituting the known values,
225 = (0 m/s)(t) + (0.5)(9.8)(t²)
Simplifying,
t = 6.776 s
To determine the distance of the student from the edge of the building, we multiply the x-component by the calculated time.