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

Answer 1

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.