Answer:it will take 1.32 seconds
Step-by-step explanation:
The height of the bridge above the river is 38 feet
The height of the tree limb above the river is 10 feet
Disaster from the bridge to the tree limb = 38 - 10 = 28feet. The rock will travel 28feet before it passes the tree limb. To determine the time, we will apply Newton's equation of motion.
h = ut + 1/2 ×gt^2
where
h = height of the rock
t = time taken for the rock to fall
u = initial velocity of the rock.
g = acceleration of the object and it is also acceleration due to gravity.
From the information given,
h = 28 feet
g = 32.2ft/s^2
u = 0(velocity of the rock starts from 0 and increases as it keeps falling)
28 = 0×t + 1/2 × 32.2 × t^2
28×2 = 32.2 × t^2
t^2 = 56/32/2 = 1.74
t = √1.74 = 1.32 seconds
