Ok so this might be a bit confusing but I hope u understand it. Because the problem is in seconds, I tried to stick to seconds. In an hour there are 60 minutes and in those 60 minutes there are 3,600 seconds. Now in 25 seconds the mule deer can run 1/4 mile. So think for a second how many seconds it would take for it run a full mile. If u do the math then u would get 25*4 which is 100 seconds to run a full mile. Going back to our 3,600 seconds, all u have to do is divide it by 100 to get the miles. So 3,600/100 is 36. The mile deer runs 36 miles in an hour. I hope this was of help to u
Answer:
t = 2.28 s
Step-by-step explanation:
h = 105 - 9t - 16t ^ 2
0 ft = 105 ft - 9t -16^t
To find the roots of a quadratic function we have to use the Bhaskara formula
, the roots will give us the time it takes to reach zero height
ax^2 + bx + c = 0
-16^t - 9t + 105 ft = 0 ft
a = -16 b = -9 c = 105
t1 = (-b + √ b^2 - 4ac)/2a
t2 =(-b - √ b^2 - 4ac)/2a
t1 = (9 + √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t1 = (9 + √(-81 + 6720))/ -32
t1 = (9 + √6639)/ -32
t1 = (9 + 81.84)/ -32
t1 = 90.84 / -32
t1 = -2.83 s
t2 = (9 - √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t2 = (9 - √(-81 + 6720))/ -32
t2 = (9 - √6639)/ -32
t2 = (9 - 81.84)/ -32
t2 = -72.84 / -32
t2 = 2.28 s
we have two possible values, we are only going to take the positive one, beacause we are talking about time
t2 = 2.28 s
The subtraction function
is defined as the subtraction of the two equations, representing each function:
So, we have
The first thing we must do is define a variable.
We have then:
x: Linda's speed.
Then, by definition, the time traveled is equal to the distance between the velocity.
We have then:
For Linda:
For Miguel:
Then, since time is the same, then:
Clearing Linda's speed we have:
Then, Miguel's speed is:
Answer:
Linda's speed is 10 Km/h
Miguel's speed is 14 Km/h
