Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
<u>Calculate: </u>
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
<u>Graph:</u>
See the attached graph. It confirms the 1.33 second value
Answer:
b (the second choice)
Step-by-step explanation:
range is basically the y
domain is like x
Answer:
Step-by-step explanation:
So for the given information, it would be easiest to use slope-intercept form, which is y=mx + b, where m is the slope and b is the y-intercept.
We can plug in 2/3 for the slope, because we are given that.
y=2/3x + b.
To find the y-intercept, plug in the given point for x and y and solve for b.
-5 = 2/3 · (-3) + b
-5 = -2 + b
b = -3
So now we have the complete equation of the line.
<u>y = 2/3x -3</u>
Now to graphing.
We can put the y-intercept, (0, -3), and the given point, (-3, -5) on a graph.
Answer:
1.
- Heat capacity is defined as the total amount of heat required to increase the temperature of a substance in 1°C.
- Specific heat is defined as the total amount of heat required to increase the temperature of a substance in 1°C per unit mass. Hence this property depends of the mass of the substance.
- Latent heat is the amount of energy absorbed or released by a substance in a phase change (physical change) without a change in temperature.
2.
- Degrees of freedom is the number of parameters that define the configuration of a system. For example, in a system with we want to know about the dynamic in the three dimension x,y,z and also about the rotation around a fixed axe we have four degrees of freedom.
- Equipartition theorem relates the temperature of a system with the average energy of the system (this average is taken for those degrees of freedom that appears quadratically).
I hope this is useful for you
regards
