Answer: When an object accelerates, it changes it velocity over time.
Answer:
Step-by-step explanation:
As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by x=-b/(2a) where a = -34 and b = 1542:
x=-1542/(2)(-34)
x=-152/-68
x=152/68
We put this value of "x" into the original formula to find out the value of "y":
y=-34x^2+1542x-10037
y=(-34)(1542/68)^2+1542(1542/68)-10037
y= -17483.5588235 + 34967.1176471 -10037
y=7446.5588236
Therefore, the maximum profit would be $7446.56.
Hope this helps!
PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME
H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
