Question

Soaked by a water balloon the size of a beach ball, launched by a catapult built by Dwayne, the neighborhood's cranky old man, Little Johnny, the neighborhood menace, rolls horizontally off the low part of his house's roof, and into the pile of leaves that his neighbor Mrs. Johnson has just raked up. If Johnny falls for 0.78 seconds, how high was the part of the roof Johnny rolled off? Give your answer to the nearest meter.

A) 3 meters
B) 5 meters
C) 8 meters
D) 10 meters

Answer 1

Little Johnny fell approximately 2.97 meters, which is rounded up to 3 meters according to the nearest meter, making the answer option A.

Step-by-step explanation:

To determine how high Little Johnny fell from the roof after being soaked by a water balloon the size of a beach ball, we need to use the equation for falling objects in physics:

s = ½gt²

Where s is the distance fallen, g is the acceleration due to gravity (9.8 m/s²), and t is the time the object has fallen. Plugging in the values given in the question:

s = ½(9.8 m/s²)(0.78 s)²

Doing the math, we get that Johnny fell approximately 2.97 meters. Since we're asked to give the answer to the nearest meter, we round up to 3 meters, which corresponds to option A.