(1) mass of the object from 1.0 kg to 2.0 kg
<span>Your equation for the height of the stone at any time is h(t) = -16t2<span> + 128t + 32 .
From your equation, we can tell that you're defining the upward direction as
positive. We can also tell that you threw the stone upward, with an initial speed
as it left your hand of 128 feet per second, about 87 miles per hour ... a mighty toss indeed, and I think there's a man from the Chicago Cubs waiting outside
who'd like to talk to you.
Anyway, When the stone splashes into the water, h(t) = 0 .
</span></span>
<span>-16t²<span> + 128t + 32 = 0</span></span>
Divide each side by -16 :
t² - 8t - 2 = 0
I don't see any easy way to factor the expression on the left,
so I have to use the quadratic formula to solve this equation.
t = 4 plus and minus √18 .
t = +8.24 seconds
t = -0.24 second
Mathematically, both numbers are valid solutions.But when you apply
the equation to a real world situation, only the positive 't' makes sense.
So <u> t = 8.24 seconds</u>.
Answer:
333.46 J/g
Explanation:
To convert from kiloJoules per mole to kiloJoules per gram, first we convert to Joules per mole:
6.009 kJ/mol * 1000 = 6009 J/mol
1 mole of water contains 18.02 grams of water, hence:
(1 J/mol) / (1 mol) * (1 mol) / (18.02g)
Therefore:
(6009 J/mol) / (1 mol) * (1 mol) / (18.02g)
= 333.46 J/g
Another way of seeing this is, to convert from Joule per mole to Joules per gram, divide by the number of grams in one mole. In the case of water, it's 18.02 grams in one mole.
Answer:
The answer is B, contact!
Explanation:
The two objects are contacting (or interacting) each other.