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)159 meters
The formula v=√—64d can be rearranged to solve for d:
d = (v^2) / 64
Plugging in the given average velocity of 98 m/s:
d = (98^2) / 64
d = 9604 / 64
d = 150.06
Rounded to the nearest whole number, the approximate distance the object was dropped is 150 meters.
Therefore, the closest option is D) 159 meters.