2.2, 5/2, square root of 10, 7/2, -4.8
A.
the starting point is where t=0
d(0)=-16(0)^2+96(0)+112
D(0)=112
started from 112 feet
b. max height is vertex
for
y=ax^2+bx+c
the x value of the vertex is -b/2a
so
D(t)=-16t^2+96t+112
t value of vertex is -96/(2*-16)=3
it reaches after 3 seconds
C. simpliy evaluate D(t) for t=3
D(3)=-16(3)^2+96(3)+112
D(3)=-16(9)+288+112
D(3)=-144+400
D(3)=256
max height is 256ft
To find the approximate length of the radius, you will use the formula for finding the circumference of a circle and solve for the radius (r).
C = 2 x pi x r
55 = 2 x 3.14 x r
<u>55 </u>= <u>6.28 x r</u>
6.28 6.28
r = 9.2 mm
The approximate radius is 9.2 mm.