# Calculating Coyote's Speed at Each Second of Fall

• flower555
In summary, the problem involves finding the exact speed of a falling coyote at different points in time. The task is to calculate the average speed at a given time interval, and then determine the exact speed by observing what number the average speeds are approaching. This process is repeated for different points in time, such as 1 second, 2 seconds, and 4 seconds. The resulting table shows the exact speed of the coyote at each full second of its fall, with the initial speed being 0 ft/sec and the final speed being 160 ft/sec.
flower555

## Homework Statement

2) Problem : You must believe that the coyote is falling at one specific speed at any time during his fall to the ground. Your task here is to find the coyote’s exact speed at each full second of his fall.
Once we know this information you can develop a rule that will allow you to find the coyote;d exact speed at any time.
What we know so far.
At t=0 the coyote’s exact downward speed is zero. At t=5 seconds his exact speed is 160 ft/sec
a) Calculate the coyote’s exact speed at 3 seconds. Start by calculating the average speed of the coyote from 2.5 seconds to 3 seconds. What is the average speed from 2.8 seconds to 3 seconds? From 2.9 seconds to 3 seconds? From 2.99 seconds to 3 seconds? At some point you will see what number these average speeds are approaching. How many of these average speeds must you calculate? As many as needed for you to see what the exact speed is at 3 seconds.
b) Calculate the coyote’s exact speed at 1 second.
c) Calculate the coyote’s exact speed at 2 and 4 seconds.
4. Complete the following table:
Time in seconds height above the ground exact speed (ft/sec)
0 400 0
1
2
3
4
5 0 160

## The Attempt at a Solution

a) The average speed of the coyote from 2.5 seconds to 3 seconds is 120 ft/sec. The average speed from 2.8 seconds to 3 seconds is 111.11 ft/sec. The average speed from 2.9 seconds to 3 seconds is 106.67 ft/sec. The average speeds are approaching 106.67 ft/sec, so this is the exact speed of the coyote at three seconds. b) The exact speed of the coyote at one second is 80 ft/sec. c) The exact speed of the coyote at two seconds is 100 ft/sec and the exact speed of the coyote at four seconds is 140 ft/sec. Time in seconds height above the ground exact speed (ft/sec)0 400 01 400 802 400 1003 400 106.674 400 1405 0 160

## 1. How is a coyote's speed calculated during a fall?

The speed of a coyote during a fall can be calculated using the formula for velocity: v = d/t, where v is velocity in meters per second, d is distance in meters, and t is time in seconds. By measuring the distance the coyote falls and the time it takes, the speed can be determined at each second of the fall.

## 2. What factors can affect a coyote's speed during a fall?

The speed of a coyote during a fall can be affected by many factors including the weight and size of the coyote, the angle and height of the fall, air resistance, and friction from the surrounding environment.

## 3. Why is it important to calculate a coyote's speed during a fall?

Calculating a coyote's speed during a fall can provide valuable information for understanding the physics of falling objects and can also be useful in determining the impact and potential injuries that the coyote may experience upon landing.

## 4. What tools and methods are used to measure a coyote's speed during a fall?

To measure a coyote's speed during a fall, scientists may use instruments such as a stopwatch or a high-speed camera to accurately record the time it takes for the coyote to fall a certain distance. They may also use computer simulations to model the fall and calculate the speed.

## 5. How does a coyote's speed during a fall compare to other animals?

The speed of a coyote during a fall can vary depending on the factors mentioned earlier, but on average, coyotes can reach speeds of up to 75 miles per hour during a fall. This is relatively fast compared to other animals, such as squirrels which can reach speeds of up to 40 miles per hour during a fall.

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