Answer:1.56 seconds
Step-by-step explanation:To find out how much time it will take for the raindrop to hit Sadie's umbrella, we can use the equation of motion for an object in free fall. The equation is:
d = 1/2 * g * t^2
where:
- d is the distance traveled by the object (12 meters in this case)
- g is the acceleration due to gravity (approximately 9.8 meters per second squared)
- t is the time taken for the object to hit the ground (what we need to find)
We can rearrange the equation to solve for t:
t = sqrt(2 * d / g)
Substituting the given values:
t = sqrt(2 * 12 / 9.8)
t = sqrt(24 / 9.8)
t = sqrt(2.449)
Calculating the square root:
t ≈ 1.56