Answer:
h = 8.845 m
Step-by-step explanation:
The height h(t) of the football above the ground in meters t seconds after being punted is affected by gravity and by the punters kick, and can be represented as the difference of two functions:
We need to find h(t) such that, h(t)=v(t)-a(t)
So,
It is a quadratic equation. When we solve it we get :
Neglecting negative value,
h(t) = 8.845 m
So, the ball was at a height of 8.845 m when it was punted.
For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.
We have then:
Where,
For the first body:
For the second body:
By the time both bodies have the same height we have:
Rewriting we have:
Clearing time:
Answer:
it takes 18.31s for the two window washers to reach the same height
Answer:
The no. of possible handshakes takes place are 45.
Step-by-step explanation:
Given : There are 10 people in the party .
To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?
Solution:
We are given that there are 10 people in the party
No. of people involved in one handshake = 2
To find the no. of possible handshakes between 10 people we will use combination over here
Formula :
n = 10
r= 2
Substitute the values in the formula
No. of possible handshakes are 45
Hence The no. of possible handshakes takes place are 45.
Answer: Option A and Option C.
Step-by-step explanation:
For this exercise it is important to know the definition of "Vertical Angles".
When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".
By definition, Vertical angles are congruent, which means that the have the equal measure.
In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.
You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:
and
and