A prankster drops a water balloon from the top of a building on an unsuspecting person on the sidewalk below. If the balloon is traveling at when it strikes a person's head ( above the ground), how tall is the building

Explanation:

Given:

Initial velocity, vo = 0 m/s (at rest)

Final velocity, vf = 22.5 m/s

Height of the person, h = 1.5 m

Using equations of motion,

vf^2 = vo^2 + 2aS

Where,

S = distance of the motion

22.5^2 = 0 + (2 × 9.81 × S)

S = 506.25/19.62

= 25.80 m

Height of the building, H = distance of motion + height of the person

= 25.8 + 1.5

= 27.3 m

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)