A 124- balloon carrying a 22- basket is descending with a constant downward velocity of 16.3 A 1.0- stone is thrown from the basket with an initial velocity of 18.7 perpendicular to the path of the descending balloon, as measured relative to a person at rest in the basket. The person in the basket sees the stone hit the ground 7.60 after being thrown. Assume that the balloon continues its downward descent with the same constant speed of 16.3
how high was the balloon when the rock was thrown?
how hig when the rock hit ground?
-241.5
To determine the height of the balloon when the rock was thrown, we can use the equation for the motion of the balloon. The downward velocity of the balloon is given as 16.3 m/s. We can consider this velocity negative because it is in the downward direction.
Let's denote the height of the balloon when the rock was thrown as h_1.
Using the equation of motion:
h_1 = (1/2)gt^2 + v_0t + h_0
Here, g is the acceleration due to gravity (approximately 9.8 m/s^2), t is the time elapsed since the rock was thrown, v_0 is the initial velocity of the rock, and h_0 is the initial height of the balloon.
Since the balloon is descending with a constant downward velocity of 16.3 m/s, we can set v_0 as -16.3 m/s.
The time elapsed since the rock was thrown is given as 7.60 seconds. Plugging in these values, we can calculate the initial height of the balloon when the rock was thrown:
h_1 = (1/2)(-9.8)(7.60)^2 + (-16.3)(7.60) + h_0
To proceed, we need to know the initial height of the balloon, h_0. Unfortunately, that information is not provided in the given problem. Therefore, we cannot determine the exact value of h_1 without additional information.
As for the height when the rock hit the ground, we can use the same equation of motion with the time elapsed since the rock was thrown as 7.60 seconds. However, this time we need to find the height when the rock hits the ground.
Let's denote the height when the rock hits the ground as h_2.
Using the equation of motion:
h_2 = (1/2)gt^2 + v_0t + h_0
Plugging in the values, we have:
h_2 = (1/2)(-9.8)(7.60)^2 + (-16.3)(7.60) + h_0
Again, we need to know the initial height of the balloon, h_0, to calculate the exact value of h_2.
Unfortunately, without the initial height of the balloon, we cannot determine the height of the balloon when the rock was thrown or when the rock hit the ground accurately.