Final answer:
The average speed of the ball during the time represented in the graph is 2.94 m/s.
Step-by-step explanation:
The average speed of an object can be calculated by dividing the total distance traveled by the total time taken.
In this case, we need to find the average speed of the ball during the time represented in the graph.
To do this, we first need to calculate the total distance traveled by the ball during that time interval.
From the given information, we know that the ball's velocity changes over time and reaches a maximum value of 4.90 m/s at t = 0.05 sec, then decreases to -0.98 m/s at t = 0.65 sec.
To find the average speed, we take the absolute value of the maximum and minimum velocities and divide it by 2.
average speed = (|4.90 m/s| + |-0.98 m/s|) / 2
average speed = (4.90 m/s + 0.98 m/s) / 2
average speed = 5.88 m/s / 2
average speed = 2.94 m/s