A squirrel has stored its acorns in a hole that
is 45 feet from the ground in tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored Acorns in 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 hundredth.
The quotient that describes the rate of change in the squirrel’s height above the ground is −10.48 feet/second.
To interpret the quotient describing the rate of change in the squirrel's height above the ground, we need to calculate the difference in height and divide it by the time it takes.
The squirrel starts on a perch 100 feet above the ground and moves down to the stored acorns, which are 45 feet from the ground. Therefore, the initial height is 100 feet, and the final height is 45 feet.
The time it takes for the squirrel to move from the perch to the stored acorns is 5.25 seconds.
To find the rate of change in height, we calculate the difference in height and divide it by the time taken:
Rate of change = (Final height - Initial height) / Time taken
Plugging in the values:
Rate of change = (45 ft - 100 ft) / 5.25 seconds
Calculating:
Rate of change = -55 ft / 5.25 seconds
Rounding to the nearest hundredth:
Rate of change = -10.48 ft/s
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 distance the squirrel has traveled vertically (change in height) divided by the time it took to travel that distance.
First, let's find the change in height. The squirrel starts on a perch 100 feet above the ground, and it moves down to its stored acorns, which are 45 feet off the ground. The change in height is the difference between these two heights:
Change in height = 100 ft - 45 ft = 55 ft.
Next, we divide the change in height by the time it took for the squirrel to travel that distance.
Rate of change = Change in height / Time
Rate of change = 55 ft / 5.25 s
To find the answer to the nearest hundredth, we divide 55 by 5.25:
Rate of change = 10.48 ft/s.
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 divide the change in height by the time it takes to make that change.
The change in height is 100 - 45 = 55 feet.
The time it takes to make this change is 5.25 seconds.
So, the rate of change in the squirrel's height can be calculated as:
55 feet / 5.25 seconds = 10.48 feet/second.
Rounded to the nearest hundredth, the rate of change in the squirrel's height above the ground is approximately 10.48 feet/second.