Arocket is launched into the air. the projectile motion of the rocket can be modeled using  h(t)  =  112t  –16t2, where  tis the time since launch in seconds and  h(t)  is the height of the rocket at time  t.  when will the rocket be 196 feet in the air? after 2.0 secondsafter 3.5 secondsafter 4.5 secondsafter 7.0 seconds

B after 3.5 seconds

Step-by-step explanation:

set h(t) = 196, that is

112t - 16t² = 196 ( rearrange into standard form )

-16t² + 112t - 196 = 0 ← in standard form

divide through by - 4

4t² - 28t + 49 = 0

(2t - 7)² = 0 ← factor as a perfect square

2t - 7 = 0 ⇒ t = = 3.5

The rocket is at 196 feet after 3.5 seconds

after 3.5 seconds

Step-by-step explanation:

Given : The projectile motion of the rocket can be modeled using

To Find : When will the rocket be 196 feet in the air?

Solution:

Expression:

Hence the rocket will be at height 196 feet in the air after 3.5 seconds .

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.