A prankster drops a water balloon from the top of a building.If the balloon is traveling at 29.1 m/s when it strikes a window ledge that is 1.5 m above the ground,how tall is the building? Neglect air resistance.
A)45 m
B)43 m
C)46 m
D)47 m

Question

Quizplus · Accepted Answer

Using the kinematic equation $ v^2 = u^2 + 2as $, where $ v = 29.1 \, \text{m/s} $, $ u = 0 \, \text{m/s} $, $ a = 9.8 \, \text{m/s}^2 $, and $ s $ is the distance fallen. Solving for $ s $ gives approximately 43 m. Adding the 1.5 m above the ground, the building is about 45 m tall.

A Prankster Drops a Water Balloon from the Top of a Building.If