Answer:
0.5 < t < 2
Step-by-step explanation:
The function reaches its maximum height at ...
t = -b/(2a) = -16/(2(-16)) = 1/2 . . . . . . where a=-16, b=16, c=32 are the coefficients of f(t)
The function can be factored to find the zeros.
f(t) = -16(t^2 -1 -2) = -16(t -2)(t +1)
The factors are zero for ...
x = -1 and x = +2
The ball is falling from its maximum height during the period (0.5, 2), so that is a reasonable domain if you're only interested in the period when the ball is falling.
Answer:
<h2>The required ratio is 8</h2>Step-by-step explanation:
Volume of a sphere = where r is the radius of the sphere.
If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;
Vo =
If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.
radius of current sphere = 2cm+(1cm+1cm) = 4cm
Volume of the current sphere Vc =
The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;
Vc/Vo =
The required ratio is 8