F(4) = 7+4(4-1)
f(4) = 7+4(3)
f(4) = 7+12
f(4) = 19
The forth term is 19

f(40) = 7+4(40-1)
f(40) = 7+4(39)
f(40) = 7+156
f(40) = 163
The fortieth term is 163

8 0

3 years ago

A baseball is thrown with a vertical velocity of 50 ft/s from an initial height of 6 ft. The height h in feet of the baseball ca

Bad White [126]

Vertex is highest point

ok so the t value of the vertex of a function in the form
f(x)=at^2+bt+c is
-b/2a

find t value
h(x)=-16t^2+50t+6
a=-16
b=50
-50/(2*-16)=1.5625
round
1.6 seconds
max height
input 1.6 for t and evaluate (for more precice, input 1.5625 for t)

max height is 45 feet

seems to be
b=initial velocity
c=intial height

a=-16
eqation is
h(t)=-16t^2+70t+5
vertex is -70/(2*-16)=2.1875
input for t to get max height
82 feet

answers are

1.6 seconds
45 feet
82 feet

4 0

3 years ago