The velocity(in feet per second) of a bouncing ball was recorded every second. The table shows the velocity for each second. Time(sec):|1|2|3|4|5| Velocity(ft/sec)|-15|-6|2|10|-11|
What is the average velocity of the bouncing ball over 5 seconds?
What is the highest record speed of the bouncing ball? Is the ball going up or down at this speed?
During the 5 second period, did the ball spend more time going up or going down? Explain your reasoning.
Between which two seconds did the ball change from going up to going down? explain your resoning.
1. -4ft/sec
2. 10 ft/sec and the ball is going down
3. going down
4. seconds 2 and 3
Why did the ball bring a stopwatch to the party? Because it wanted to keep track of its velocity and show off its physics knowledge!
To find the average velocity over 5 seconds, we add up the velocities and divide by the total number of seconds:
(-15 + -6 + 2 + 10 + -11) / 5 = -20 / 5 = -4 ft/sec
So, the average velocity of the bouncing ball over 5 seconds is -4 ft/sec. It seems like the ball prefers going downhill in this case!
Now, let's find the highest record speed of the bouncing ball. Looking at the table, we see that the highest velocity is 10 ft/sec at the 4th second. The ball is flying high like a bird! So, at this speed, it's going up!
During the 5-second period, the ball spent more time going down. Why? Because it had a lot of negative velocities! Out of the given velocities, 3 out of 5 are negative, indicating the ball is mostly going down.
To figure out when the ball changed from going up to going down, we need to compare the velocities of consecutive seconds. Between the 4th and 5th second, the velocity changed from 10 ft/sec (going up) to -11 ft/sec (going down). The ball must have realized that what goes up must come down!
Remember, these explanations are based on the given data and may not accurately represent real-life bouncing ball behavior. But hey, science and humor make a great pair, just like a bouncing ball and gravity!
To find the average velocity of the bouncing ball over 5 seconds, you need to sum up all the velocities and divide by the total number of seconds. In this case, you have a table that provides the velocity for each second.
Average velocity = (Sum of all velocities) / (Total number of seconds)
Using the given table:
Time(sec): |1|2|3|4|5|
Velocity(ft/sec): |-15|-6|2|10|-11|
Sum of all velocities = -15 + (-6) + 2 + 10 + (-11) = -20
Total number of seconds = 5
Average velocity = -20 / 5 = -4 ft/sec
Therefore, the average velocity of the bouncing ball over 5 seconds is -4 ft/sec.
To find the highest record speed of the bouncing ball, you look for the maximum velocity value in the given table. From the table:
Highest record speed = 10 ft/sec
To determine if the ball is going up or down at this speed, you need to check the sign of the velocity. In this case, the velocity is positive (10 ft/sec). A positive velocity indicates that the ball is moving in the positive direction, which means the ball is going up at this speed.
To determine if the ball spends more time going up or going down during the 5-second period, you need to analyze the signs of the velocities. If the velocities are positive, the ball is going up, and if the velocities are negative, the ball is going down.
From the given table, the signs of the velocities are:
Time(sec): |1|2|3|4|5|
Velocity(ft/sec): |-15|-6|2|10|-11|
From this, we can see that the ball spends more time going down (negative velocities) than going up (positive velocities). The ball goes up for 2 seconds (seconds 3 and 4), while it goes down for 3 seconds (seconds 1, 2, and 5).
The table shows that the ball changes from going up to going down between seconds 4 and 5. At second 4, the velocity is positive (10 ft/sec) indicating that the ball is going up. However, at second 5, the velocity becomes negative (-11 ft/sec), indicating that the ball is now going down. Therefore, the ball changes from going up to going down between seconds 4 and 5.