Answer:
A 2 d vector model
The acceleration function is -9.8 m/s2 which is gravity
Initial velocity on the Y axis is 0, on the X axis is 12 m/s
Inital position is 20 mts above the ground.
It takes the water 1.01 seconds to reach the other building.
THe distace from one building to the other is 12.11 meters.
Explanation:
In order to solve this you just need to carefully read the problem and the data you are given, and use the formula for height in free fall:

So first the data, we know that the water is coming out at a height of 20 meters since the building is 19 meters tall and the fireman is holding the firehose 1 meter above it, and the water is hitting the second building at a height of 15 meters, that means that the water is travelin -5meters.
Gravity as it doesn´t say otherwise would be 9.8m/s2 since that is gravity on earth, and water is leaving the firehose at 12m/s horizontally.
We can calculate the time by using the height formula fro free fall:

So it takes 1.009 seconds for the water to frop from 20 to 15 meters, as the horizontal velocity remains the same we just multiply it by the time and we get the horizontal distance between the two buildings and that would be:
12.11 meters.
The answer is C is the velocity is the same then the acceleration is also the same.
It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
We know that half life of a first order reaction is given by: 
where k = rate of reaction
Given half life = 35 milliseconds
So from this we get k = 0.0198
Now we know that rate of first order reaction is given by: 
where t= time
R'= initial amount = 99 g
R= final amount= 0.50 g
k= rate of reaction = 0.0198
Putting values of these in above equation we get t=267 milliseconds.
i.e. It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
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Answer:
Water cannot be used in thermometer because of its higher freezing point and lower boiling point than other liquids . If water is used in a thermometer , it will start phase change at 0
C and 100
C and will not measure temperature , out of this range . This range is very small as compared to other liquids as mercury , having freezing point about −39
C and boiling point 356
C.
Explanation:
60 min = 1 then 3 min = x. So, x= 3min moltiplicate with 1h divided for 60 min = 0.05h