MP is the best choice as both triangles have MP as the same vector
Answer:
8 seconds
Step-by-step explanation:
lets first start by plugging in 1024 into initial height
h(t) = -16t^2 + 1024
I would find a Greatest Common Factor (GCF) first
-16(t^2 - 64) If this is new just think that if you multiply -16 by t squared and -64 you will come back to the original equation
But now we notice that T squared -64 can be factored with the difference of perfect squared method
so we will get -16(t-8)(t+8)
So to get the answers we will set everything equal to 0
-16t =0
t =0 this is the time that the penny was thrown
t-8 = 0
t = 8 the is the time the penny hit the ground
t+8 =0
t= -8 This is an extraneous solution or a solution that doesn't make sense so we just disregard the solution.
The length of the radius would sqrt(1+4), or sqrt(5).
2
The angle would be in Quadrant II and would be arctan ------ , or arctan (-2).
-1
Find this angle using a calculator or table.
Then you end up with -1+2i = sqrt(5) angle arctan(-2). The angle would be + and measured from the + horizontal axis.
The area of a circle is pi*r^2 so 324/pi is 103 if you take the square root of that it is 10.15. so you would use the circumference formula now, which is 2 pi r so 2*pi*10.15= 63.77
