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Answer:
Step-by-step explanation:
The position function is
and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.
and factor that however you are currently factoring in class to get that
t = -.71428 seconds or
t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).
We all know that time will never be a negative value, so the time it takes this ball to hit the ground is
1.42857 seconds (round how you need to).
Answer:
See below.
Step-by-step explanation:
Formula:
First term: n = 1
Second term: n = 2
Third term: n = 3
Fourth term: n = 4
Tenth term: n = 10
<h2>Hello!</h2>
The answer is:
To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.
So, let be the first car speed "x" and the second car speed "y", writing the equations we have:
For the first car:
For the second car:
We know that the speed of the second car is the speed of the first car plus 14 mph, so:
Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles, so, we can calculate the relative speed between them:
If the cars are moving towards each other the relative speed will be:
Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we have:
Writing the equation, we have:
We have that the speed of the first car is equal to 41 mph.
Now, for the second car we have that:
Hence, we have that:
Have a nice day!