Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
243 ways
Step-by-step explanation:
Fruits = 5
Bowls = 3
Remember that, There are three bowls for five fruits. So the possible outcomes are:
=> 
ways
Answer:
Step-by-step explanation:
In this problem, we have:
H = 452 m is the height of the Petronas tower
h = 1.75 m is the height of the woman
d = 120 m is the distance between the woman and the base of the tower
First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so
Now we notice that 
and 
are the two sides of a right triangle, in which the angle of elevation is 
. Therefore, we can write the following relationship:
since
H' represents the side of the triangle opposite to
d represents the side of the triangle adjacent to
Solving the equation for , we find the angle of elevation:
