A squirrel her store is a acorns and a hole that is 45 ft from the ground in The tall tree the squirrel starts on a perch 100 ft above the ground the squirrel moves from the perch down to its store acorns and 5.25 seconds interpret the quotient to describe the rate of change in the squirrel's height above the ground give your answer to the nearest hundred
To interpret the quotient, we need to calculate the rate of change in the squirrel's height above the ground. The squirrel starts at a perch 100 ft above the ground and moves down to its store of acorns, which is 45 ft from the ground. The time it takes for the squirrel to do this is 5.25 seconds.
The rate of change can be calculated by dividing the change in height by the time taken. In this case, the change in height is 100 ft - 45 ft = 55 ft. Therefore, the rate of change in the squirrel's height above the ground is:
Rate of Change = (Change in Height) / (Time Taken)
Rate of Change = 55 ft / 5.25 seconds
Calculating this, we find:
Rate of Change ≈ 10.476190476190476 ft/s
Rounded to the nearest hundred, the rate of change in the squirrel's height above the ground is approximately 10.48 ft/s.
To find the rate of change in the squirrel's height above the ground, we need to calculate the change in height and divide it by the time taken.
Change in height = Initial height - Final height
Initial height = 100 ft
Final height = 100 ft - 45 ft = 55 ft
Change in height = 100 ft - 55 ft = 45 ft
Now, we can calculate the rate of change:
Rate of change = Change in height / Time taken
Time taken = 5.25 seconds
Rate of change = 45 ft / 5.25 seconds ≈ 8.57 ft/second
Rounded to the nearest hundred, the rate of change in the squirrel's height above the ground is approximately 8.57 ft/second.
To find the rate of change in the squirrel's height above the ground, we need to determine the difference in height between the squirrel's starting point on the perch and the position of its acorn store.
Given that the squirrel starts on a perch 100 ft above the ground and the acorn store is 45 ft from the ground, we can calculate the difference in height by subtracting the height of the store from the starting height:
Difference in height = 100 ft - 45 ft = 55 ft
Next, we need to determine the time it takes for the squirrel to descend from the perch to its acorn store. According to the information provided, this process takes 5.25 seconds.
Now, to find the rate of change, we divide the difference in height by the time it takes for the squirrel to descend:
Rate of change = Difference in height / Time taken
Rate of change = 55 ft / 5.25 seconds
Using a calculator, we find that the quotient is approximately 10.48 ft/s.
Therefore, the rate of change in the squirrel's height above the ground is approximately 10.48 ft/s (to the nearest hundredth).