To determine when the ball has the highest kinetic energy, we need to consider the relationship between kinetic energy, mass, and speed. Kinetic energy (KE) is given by the formula:
\[ KE = \frac{1}{2}mv^2 \]
Where:
- \( KE \) is kinetic energy,
- \( m \) is the mass of the object, and
- \( v \) is the speed of the object.
Since the mass of the ball remains constant, the kinetic energy is directly proportional to the square of the speed \( v \). Therefore, the point in time at which the ball has the highest kinetic energy is when the ball's speed is at its maximum.
As the ball falls, its potential energy is converted into kinetic energy. This means that the ball’s speed increases as it falls. Thus, the highest speed (and therefore the highest kinetic energy) will occur just before the ball hits the ground.
If you could provide the specific data from the table detailing the ball’s speed and height over time, I could give you a precise point in time based on that data. Without the data, we can conclude that the ball will have the highest kinetic energy just before impact with the ground.
1 answer