Suppose you add x liters of pure water to the 10 L of 25% acid solution. The new solution's volume is x + 10 L. Each L of pure water contributes no acid, while the starting solution contains 2.5 L of acid. So in the new solution, you end up with a concentration of (2.5 L)/(x + 10 L), and you want this concentration to be 10%. So we have
and so you would need to add 15 L of pure water to get the desired concentration of acid.
Answer:
h = 44.06 meters (maximum height)
the time the object takes to complete this whole path is 6 seconds, this is why the time at which the object reaches its maximum height will between 0 and 6 seconds
Step-by-step explanation:
To solve this question, we need to first recognize that this is a constant acceleration problem, specifically, it can be thought of as a projectile motion problem.
Recall, the equations of motion:
What do we already know?
We can use use the Eq(1):
we know that when any object is launched up, at maximum height its velocity is going to be zero,
this is the maximum height!
Why does t have to between zero and six?
We can answer this using a bit visualization, if you think about the second equation
this is the equation of the whole trajectory that object makes.
and if you solve this by making , you will get the times at which the object was at the ground. the times will be 0s and 5.99s.
so the amount of time the object takes to go through this whole path is 6 seconds and this why the object will only reach its maximum height in between this time interval.
hope this helps :)
