Did you know?
Did you know that calculating the acceleration of an object can help us understand how quickly it is changing its velocity? In the given scenario, let's analyze my dog ObiWan Kenobi who pushes a ball rolling toward it at a speed of 1.6 m/s. With a gentle touch of its paw, the ball moves 9.6 m in the opposite direction within a time of 4.6 s. To find the acceleration of the ball, we can use the equation:
Acceleration = (Change in velocity) / (Change in time)
Let's substitute the given values:
Acceleration = (Final velocity - Initial velocity) / Time
The initial velocity of the ball is 1.6 m/s, and the final velocity is 0 m/s since it comes to rest. We can calculate the change in velocity:
Change in velocity = Final velocity - Initial velocity
= 0 m/s - 1.6 m/s
= -1.6 m/s (opposite direction)
Now, let's calculate the acceleration:
Acceleration = (-1.6 m/s) / 4.6 s
= -0.35 m/s²
Therefore, the acceleration of the ball, considering the displacement and time given, is approximately -0.35 m/s². This negative value indicates that the ball is decelerating, or slowing down, as it moves in the opposite direction.
