A ball is shot upward such that its height (in feet) above the ground after t seconds is h(t) = -16t2 + 96t + 5. What is the bal
1 answer:
Answer:
149 feet
Step-by-step explanation:
you have a quadratic equation and you need to fid it's vertex because that is the max height
h(t)= -16t² +96t +5
the x coordinate of the vertex is x= -b/2a for f(x)= ax²+bx+c so in our case
x= = 3 , now we know that the vertex bbelongs to the graph so should verify the equation so we substitute t of the value of x=3 to find y
y= -16*3²+96*3+5= -144+288+5=149
the max height is the coordinate of y because it tels us how much it went up
You might be interested in
Answer:
where
denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles,
denote corresponding radii and
denote the corresponding central angles.
So,
and
This implies and
As each circle has an arc where the measures of the corresponding central angles are the same,
As radius of one circle is twice the radius of the other circle,