Answer: V = 3.4 L
Explanation: Use Boyle's Law to find the new volume. P1V1 = P2V2, derive for V2, then the formula will be V2= P1V1 / P2
V2 = 2.5 atm ( 4.5 L ) / 3.3 atm
 = 3.4 L
 
        
                    
             
        
        
        
Test questions measure recall; matching concepts with their definitions measures recognition.
<u>Explanation:
</u>
According to Psychology our brain remembers everything what we learn but the understanding and remembering the right answer for the right question needs training and understanding ability. So in order to enhance the ability of recalling and recognizing among the students, the concept of test questions and matching with definitions are used in curricular activities.
As the students will be learning different terms, definitions, methods and different subjects, they should be able to distinguish among different definitions as well as they should recall the things they have learnt. So the answers for the test questions will help to recall the topics learnt by the students while the matching concept will help the students to recognize each definition with their terms.
 
        
             
        
        
        
Answer:
The railroad tracks are 13 m above the windshield (12 m without intermediate rounding).
Explanation:
 First, let´s calculate the time it took the driver to travel the 27 m to the point of impact. 
The equation for the position of the car is:
x = v · t
Where 
x = position at time t
v = velocity
t = time
 
x = v · t
27 m = 17 m/s · t
27 m / 17 m/s = t
t = 1.6 s
 
Now let´s calculate the distance traveled by the bolt in that time. Let´s place the origin of the frame of reference at the height of the windshield:
 
The position of the bolt will be:
y = y0 + 1/2 · g · t²
 
Where 
y = height of the bolt at time t
y0 = initial height of the bolt 
g = acceleration due to gravity
t = time
 
Since the origin of the frame of reference is located at the windshield, at time 1.6 s the height of the bolt will be 0 m (impact on the windshield). Then, we can calculate the initial height of the bolt which is the height of the railroad tracks above the windshield:
 
y = y0 + 1/2 · g · t²
0 = y0 -1/2 · 9.8 m/s² · (1.6 s)²
y0 = 13 m
 
 
        
             
        
        
        
The motion of the ball on the vertical axis is an accelerated motion, with acceleration 

The following relationship holds for an uniformly accelerated motion:

where S is the distance covered, vf the final velocity and vi the initial velocity.
If we take the moment the ball reaches the maximum height (let's call this height h), then at this point of the motion the vertical velocity is zero:

So we can rewrite the equation as

from which we can isolate h

 (1)
Now let's assume that 

 is the initial velocity of the first ball. The second ball has an initial velocity that is twice the one of the first ball: 

. So the maximum height of the second ball is

 (2)
Which is 4 times the height we found in (1). Therefore, the maximum height of ball 2 is 4 times the maximum height of ball 1.