Final answer:
To find the final velocity of a water balloon thrown straight down at 13.0 m/s from a second floor window, we can use the kinematic equation. By plugging in the given values, we can solve for the final velocity. The time it takes for the water balloon to reach the ground can be found by solving a quadratic equation using the equation for distance traveled.
Step-by-step explanation:
In this question, a water balloon is thrown straight down at 13.0 m/s from a second floor window, 5.00 m above ground level. To calculate the final velocity of the water balloon, we can use the kinematic equation:
vf = vi + at
Since the water balloon is thrown straight down, the initial velocity is 13.0 m/s in the negative direction. The acceleration due to gravity is -9.8 m/s2 (negative because it acts in the opposite direction of the initial velocity).
Plugging these values into the equation, we have:
vf = 13.0 m/s + (-9.8 m/s2)t
We need to find the time it takes for the water balloon to reach the ground. Since it is thrown straight down, the distance it travels is equal to the height of the second floor window, 5.00 m. We can use the equation:
d = vit + (1/2)at2
Plugging in the values, we get:
-5.00 m = (13.0 m/s)t + (1/2)(-9.8 m/s2)t2
This is a quadratic equation that can be solved for time using the quadratic formula.