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.
Nope. Acceleration and velocity are two different animals. On the big blue marble we live on g = 9.8 m/s^2 and initial velocity won't change it.
To determine whether the second ball has greater acceleration than the first ball, we need to analyze their motions.
Let's consider the motion of the first ball:
- The first ball is dropped from a building, which means it is initially at rest.
- Due to the force of gravity, the first ball will accelerate downwards at a constant rate of 9.8 meters per second squared (m/s^2).
Now, let's consider the motion of the second ball:
- The second ball is thrown downward after 2 seconds, which means it starts with an initial velocity (assuming it is not thrown upward).
- Since the second ball overtakes the first ball after 6 seconds, we know that the second ball has covered a greater vertical distance in the same time interval. This indicates that the second ball has a higher velocity.
From these observations, we can conclude that the second ball has a greater acceleration than the first ball. This is because acceleration is directly related to the change in velocity over time. Since the second ball covers a greater distance than the first ball in the same time frame, it experiences a larger change in velocity, which implies a higher acceleration.