The first thing we are going to do in this case is to rewrite the function:
f (x) = - 16x ^ 2 + 48x
We look for the first derivative:
f '(x) = - 32x + 48
We match zero:
0 = -32x + 48
We clear x:
32x = 48
x = 48/32 = 24/16 = 12/8 = 6/4 = 3/2
x = 3/2
We verify if this value is a maximum or minimum with the second derivative:
f '' (x) = - 32
We evaluate in x = 3/2:
f '' (3/2) = - 32 (<0 Is a maximum)
Therefore the maximum height is reached in:
x = 1.5 s
The height is:
f (1.5) = - 16 * (1.5) ^ 2 + 48 * (1.5)
f (1.5) = 36 feet
Answer:
The maximum height of the ball is:
36 feet
and it takes the ball to reach that height about:
1.5 s
Answer:
A. 4
B. 8
Step-by-step explanation:
Answer:
8 stages are there in human development
A-1+a-1+a+a or a-2+a2
the answer is a