A squirrel has stored its Ekans in a hole that is 45 feet from the ground in a tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to it stored acorns in 5.25 seconds interpret the Quotient to describe the rate of change in the squirrels height above the ground, give your answers to the nearest, hundredth
To calculate the rate of change, we divide the change in height by the time taken.
The squirrel's initial height above the ground is 100 feet, and after 5.25 seconds, its height decreases to 45 feet (since it moved down).
Therefore, the change in height is 100 feet - 45 feet = 55 feet.
The time taken is 5.25 seconds.
Now, let's calculate the rate of change:
Rate of change = Change in height / Time taken
Rate of change = 55 feet / 5.25 seconds
Evaluating this expression, we find:
Rate of change ≈ 10.48 feet/second
Therefore, the rate of change in the squirrel's height above the ground is approximately 10.48 feet per second.
To find the rate of change in the squirrel's height above the ground, we can divide the change in height by the time it took to move.
Change in height = initial height - final height
Change in height = 100 feet - 45 feet
Change in height = 55 feet
Rate of change = Change in height / Time taken
Rate of change = 55 feet / 5.25 seconds
Calculating the quotient gives us:
Rate of change ≈ 10.48 feet/second
Therefore, the rate of change in the squirrel's height above the ground is approximately 10.48 feet per second.
To find the rate of change in the squirrel's height above the ground, we need to calculate the difference in height between the perch and the hole, and then divide it by the time it takes for the squirrel to travel that distance.
First, let's calculate the difference in height. The perch is 100 feet above the ground, and the hole is 45 feet above the ground. So, the difference in height is 100 - 45 = 55 feet.
Next, we divide the height difference by the time it takes for the squirrel to travel that distance. The squirrel takes 5.25 seconds to travel from the perch to the hole.
Rate of Change = Height difference / Time
Rate of Change = 55 feet / 5.25 seconds
To calculate this quotient, we divide 55 by 5.25:
Rate of Change ≈ 10.48 feet/second
Therefore, the rate of change in the squirrel's height above the ground is approximately 10.48 feet per second.