The velocity 𝑣 of an object dropped from a tall building is given by the formula 𝑣 = 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: 𝑣 = 64𝑑
Average velocity = 98 m/s
Substitute the average velocity value into the formula and solve for 𝑑:
98 = 64𝑑
𝑑 = 98/64
𝑑 ≈ 1.53125
Rounded to the nearest whole number, the object was dropped approximately 2 meters.
Therefore, the correct answer is:
c. 2 meters