a British researcher developed a formula to determine walking or running speed based on hip height and stride length. The formula is s= 0.78l ^1.67/ h^1.17 where s is speed in meters per second l is stride length in meters, and hi is the individual hip height, in meters. Calculate the walking speed of an individual whose hip height is 0.93 meters and their stride length is 1.25

Question

a British researcher developed a formula to determine walking or running speed based on hip height and stride length. The formula is s= 0.78l ^1.67/ h^1.17 where s is speed in meters per second l is stride length in meters, and hi is the individual hip height, in meters. Calculate the walking speed of an individual whose hip height is 0.93 meters and their stride length is 1.25

Here is my work
given h=0.93 and l=1.25
s= 0.78l^1.67/h^1.17
s= 0.78(1.25)^1.67/(0.95) 1.17
= 1.13222913/0.918597057
=1.23m/s

I am not sure that I have done the calculation right.
Any help would be appreciated
Sam

Answer 1

just notice that you had .93 in the given data, but used

.95 in your calculations.
So check that

Answer 2

Well Sam, it seems like you've got the basic idea. You just made a slight typo in your calculation. Let's fix it together, shall we?

You have correctly written down the formula:
s = 0.78 * l^1.67 / h^1.17

Now, let's substitute the values you've provided:
h = 0.93 meters
l = 1.25 meters

Let's plug them into the formula:
s = 0.78 * (1.25)^1.67 / (0.93)^1.17

Now, it's time to bring out our calculators for some number crunching.
Just to be clear, I will be rounding the final result to two decimal places.

After carefully performing the calculations, I get a walking speed of approximately 1.71 meters per second. So, it seems like you were just off by a little bit.

Keep in mind, though, that this formula is a generalization and may not perfectly match the speed of every individual. But it's a fun way to estimate!

Hope that clears things up, Sam! Keep on walking, one quirky formula at a time!

Answer 3

Your calculation is almost correct, but there is a small mistake in your formula. The values for stride length and hip height were given as 1.25 and 0.93 respectively, but you used 0.95 instead of 0.93. Here is the corrected calculation:

Given: h = 0.93 and l = 1.25

s = 0.78 * l^1.67 / h^1.17

s = 0.78 * (1.25)^1.67 / (0.93)^1.17

s = 0.78 * 1.937 (approximately) / 0.830 (approximately)

s = 1.51086 / 0.830

s ≈ 1.82 m/s

Therefore, the walking speed of an individual with a hip height of 0.93 meters and a stride length of 1.25 meters is approximately 1.82 meters per second.

Answer 4

Hi Sam,

Let's go through the calculation together to determine if you did it correctly.

Given:
Hip height (h) = 0.93 meters
Stride length (l) = 1.25 meters

Formula:
s = 0.78 * l^1.67 / h^1.17

Substituting the given values into the formula:
s = 0.78 * (1.25)^1.67 / (0.93)^1.17

Now let's calculate step by step:

1. Calculate l^1.67:
(1.25)^1.67 ≈ 1.621434

2. Calculate h^1.17:
(0.93)^1.17 ≈ 0.931540

3. Substitute the calculated values back into the formula:
s = 0.78 * 1.621434 / 0.931540

4. Calculate the numerator:
0.78 * 1.621434 ≈ 1.265018

5. Calculate the final result:
s ≈ 1.265018 / 0.931540 ≈ 1.358 m/s

Therefore, the walking speed of an individual with a hip height of 0.93 meters and a stride length of 1.25 meters is approximately 1.358 meters per second.

I hope this helps! Let me know if you have any further questions.