The velocity 𝑣 of an object dropped from a tall building is given by the formula 𝑣 =\sqrt{64𝑑},
where 𝑑 is the distance the object has dropped (in meters). If a falling object had an average
velocity of 98 meters per second, use the formula to determine approximately what distance it
was dropped. Round to the nearest whole number.
a. 12 meters
b. 79 meters
c. 2 meters
d. 150 meters
Given that the object has an average velocity of 98 meters per second, we can plug this value into the formula 𝑣 = √(64𝑑).
98 = √(64𝑑)
Squaring both sides to isolate 𝑑:
98^2 = 64𝑑
9604 = 64𝑑
𝑑 = 150.0625
Rounded to the nearest whole number, the object was dropped from approximately 150 meters. Therefore, the answer is:
d. 150 meters