If an object from 6 feet above the its height ht after score

If an object from 6 feet above the its height h(t) after score can be modeled by a equation write an for the model find h(1) does this value in the why not what is a reasonable for the function.

Solution

this comes under free fall object

h(t)= vi.t + (0.5) at^2

here h(t) is height of building

vi = initial velocity of ball =0 (since there is no speed when it is droping)

a= accelaration = 9.8 m/s^2 (usually) , t=time

1).

h(t) = (0.5) -a.t^2 + 6

h(t) = -(0.5) a.t^2 +6

2). to find out time when it hits ground h=0

0 = -(0.5) (9.8) t^2 +6

-6 = -4.9 t^2

t^2 = 6/4.9 = 1.2244

t = sqrt(1.2244)

t= 1.11 sec

3).h(1) = -(0.5)(9.8)(1)^2 + 6

h(1) = 1.1

it is doesn\'t make sence it has to travel remaining 4.9 feet just in 0.11 sec

4).domain

of h(t) = is all the values that \'t\' can have

domain is (-infinite, 1.11)