Solve the problem.
-A formula used to determine the velocity v in feet per second per second of an object (neglecting air resistance) after it has fallen a certain height is , where g is the acceleration due to gravity and h is the height the
Object has fallen. If the acceleration g due to gravity on Earth is approximately 32 feet per second per second,
Find the velocity of a bowling ball after it has fallen 90 feet. (Round to the nearest tenth.)
A) 5760 ft/sec
B) 53.7 ft/sec
C) 75.9 ft/sec
D) 13.4 ft/sec

Question

Solve the problem.
-A formula used to determine the velocity v in feet per second per second of an object (neglecting air resistance) after it has fallen a certain height is  , where g is the acceleration due to gravity and h is the height the
Object has fallen. If the acceleration g due to gravity on Earth is approximately 32 feet per second per second,
Find the velocity of a bowling ball after it has fallen 90 feet. (Round to the nearest tenth.)
A) 5760 ft/sec 
B) 53.7 ft/sec 
C) 75.9 ft/sec 
D) 13.4 ft/sec

Quizplus · Accepted Answer

The given formula is v = sqrt(2gh) where g = 32 ft/sec^2 (acceleration due to gravity on Earth) and h = 90 ft (height the object has fallen).
Plugging in these values, we get v = sqrt(2*32*90) = 75.9 ft/sec (rounded to the nearest tenth). Therefore, the answer is C. Substitute g = 32 and h = 90 in the formula:
v = √(2 x 32 x 90) = 75.9 ft/sec (rounded to the nearest tenth)

Solve the Problem. -A Formula Used to Determine the Velocity V in Feet