A ball is dropped from a building, after 2 sec another ball is thrown downward. After 6 sec the second ball overtook the first ball. Is the second ball has greater acceleration than the first ball? Explain.

h1=1/2 g t^2

h2=vi*(t-2)-1/2 g (t-2)^2

but at t=6, h1=h2

set them equal, you can solve for vi.

Now, that is not the question: both are accelerating downward due to gravity, which is exactly the sam.

To determine if the second ball has a greater acceleration than the first ball, let's break down the situation step-by-step:

Step 1: Define the situation
- A ball is dropped from a building, which means it is initially at rest and accelerates downward due to gravity.
- After 2 seconds, another ball is thrown downward. We can assume this ball also accelerates downward due to gravity.

Step 2: Analyze the motion of each ball
- The first ball is dropped, so its initial velocity is zero (at rest). It solely accelerates due to gravity at a constant rate.
- The second ball is thrown downward after 2 seconds, meaning it already has an initial velocity from the throw. It also accelerates due to gravity.

Step 3: Determine the time at which the second ball overtakes the first ball
- The second ball overtakes the first ball after 6 seconds. This means that by the time the second ball reaches the point where the first ball was dropped, it has caught up to and passed the first ball.

Step 4: Compare the accelerations of the two balls
- Since both balls are experiencing the same gravitational acceleration, which is constant, the acceleration of both balls is the same.

Conclusion:
The second ball does not have a greater acceleration than the first ball. They both experience the same acceleration due to gravity. However, the second ball's initial velocity from the throw allows it to catch up to and pass the first ball after 6 seconds.

To determine if the second ball has a greater acceleration than the first ball, we need to analyze the given information.

Let's break it down step by step:

- The first ball is dropped from a building, which means it is only subject to the force of gravity. We know that the acceleration due to gravity is approximately 9.8 m/s², directed vertically downwards. Therefore, the acceleration of the first ball is always the same and equal to 9.8 m/s².

- The second ball is thrown downward after 2 seconds. This means that for the first 2 seconds, it experiences the same acceleration as the first ball (9.8 m/s² due to gravity). However, after 2 seconds, it experiences an additional downward acceleration due to the initial force applied to throw it downwards.

- We are also told that after 6 seconds, the second ball overtakes the first ball. This means that the second ball covers a greater distance than the first ball in the same amount of time, indicating that it has a higher average speed. From this information alone, we cannot definitively conclude whether the second ball has a greater acceleration than the first ball.

To compare their accelerations directly, we would need more information, such as the initial velocity of the second ball when it is thrown downward. If we know the initial velocity, we can use the formula for motion to determine the acceleration.

In conclusion, based solely on the given information, we cannot definitively determine if the second ball has a greater acceleration than the first ball.