Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
Answer:
The final velocity v is 21.74 m/s.
Step-by-step explanation:
Given:
To find:
Solution:
As we know the third equation of motion is represented as
Substituting the values u, a and s in the above equation we get
Answer:
the exact length of the midsegment of trapezoid JKLM = i.e 6.708 units on the graph
Step-by-step explanation:
From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.
Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:
Thus; the exact length of the midsegment of trapezoid JKLM = i.e 6.708 units on the graph
