Final answer:
To determine the initial velocity of the second stone, we need to understand the concept of free fall and the equations of motion. The distance traveled during the first second can be calculated using the equation d = 1/2 * g * t^2, where d is the distance, g is the acceleration due to gravity, and t is the time. However, without knowing the time it takes for the first stone to hit the ground, we cannot calculate the final velocity or the initial velocity of the second stone.
Step-by-step explanation:
To determine the initial velocity of the second stone, we need to understand the concept of free fall and the equations of motion. When the first stone is dropped, it falls freely under the influence of gravity. The distance traveled during the first second can be calculated using the equation d = 1/2 * g * t^2, where d is the distance, g is the acceleration due to gravity, and t is the time. The final velocity of the stone when it hits the ground can be determined using the equation v = g * t, where v is the final velocity. Assuming the second stone is thrown downward with the same acceleration due to gravity, the final velocity of both stones when they hit the ground will be the same. Therefore, to find the initial velocity of the second stone, we can use the equation v = u + g * t, where v is the final velocity, u is the initial velocity, and g is the acceleration due to gravity.
Let's calculate the distance traveled during the first second:
- Using the equation d = 1/2 * g * t^2, we substitute g = 9.8 m/s^2 (acceleration due to gravity) and t = 1 s (time) to find d = 1/2 * 9.8 * 1^2 = 4.9 m.
Now, let's calculate the final velocity of the first stone:
- Using the equation v = g * t, we substitute g = 9.8 m/s^2 (acceleration due to gravity) and t = ? (time) to find v.
Since we don't know the time, we cannot calculate the final velocity. Therefore, we cannot determine the initial velocity of the second stone without additional information.