The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).
1 answer:
Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have , which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
You might be interested in
Answer:
B. 21.64
Step-by-step explanation:
We have been given a triangle and we are asked to find the length of AC (b).
We will use law of cosines to find the length of side AC.
Upon substituting our given values in the formula we will get,
Upon taking square root of both sides of our equation we will be get,
Therefore, the length of b is 21.64 and option B is the correct choice.