Answer:
4.25 sq ft.
Step-by-step explanation:
Answer:
The answer is: 4x^2 + 16x − 4.25 = 0
Answer:
Mean for Labradors: 65
Step-by-step explanation:
This is how to find the M.A.D.
Step 1. Find the mean. To do that, you add all the numbers and divide that number by how many numbers you have which is 10. All the numbers together is 650. That divided by 10, is 65. That is your mean.
Step 2. Once you have that, subtract the mean from all 10 numbers.
Step 3. Find the mean of the 10 numbers which you have subtracted 65 (the mean) from. If the number you subtracted is a negative, make it a positive.
The juggled ball was in the air for roughly 0.94 seconds. Using the principles of projectile motion and gravity, you calculate the time for the ball to rise to its peak and then double this value to get the total time the ball is in the air as it follows the same path back down.
The question is about determining the time a juggled ball stays in the air when thrown up at a particular speed and height. The principles of projectile motion and gravity apply here. The time taken for the ball to rise and fall back to the same height can be found using the physics concept of free fall. While the ball is in the air, it rises and then falls to a final position which is equal to its starting altitude. This is because the ball is thrown and caught at the same height.
From the facts we have, the initial vertical speed is 15 fps (feet per second). Since the acceleration due to gravity is -9.8 m/s² or approximately -32.2 fps² (note that it is negative as it is acting downward), we can use the following equation of motion which is derived from Newton's second law:
final velocity = initial velocity + (acceleration x time)
In this case, the final velocity when the ball reaches the peak of its flight is 0 (since it stops for a moment before falling again), and the acceleration is -32.2 fps². If we rearrange the equation to solve for time (t), we get:
t = (Final velocity - Initial velocity) / acceleration. Substituting the values we get:
t = (0 - 15) / -32.2 = 0.47 s
This is the time taken for the ball to go up. However, the ball takes the same amount of time to come down, so we multiply this by 2 to get the total time the ball is in the air:
Total time = 0.47 x 2 = 0.94 seconds, approximately.
So, the ball was in the air for roughly 0.94 seconds.
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