Are there any answer options?
The answer is c using substitution :)
<h3>Answer:</h3>
y = 17x - 4.5x²
height = 16m at 2 sec
total time = 3.77 sec
<h3>Step-by-step explanation:</h3>
Given the initial velocity of rocket = 56ft/sec
We use newton formula
<h3 /><h3>s = ut + 1/2at²</h3><h3>where s = distance</h3>
u = initial velocity
t= time
a = acceleration due to gravity = 9.8m/s²
since the rocket is launched upward, it is against the gravity so a = -9.81.
56 feet = 17.0688 = 17
suppose s = height = y and time = x
y = 17x - 1/2(9.81)x²
or
y = 17x - 4.5x²
b)
as x can not be negative so domain will be from 0 to 3.78
put value of x to find value of y and then plot these on graph
This graphs will be a parabola which opens downward.
c)
at 2 sec, y value is greatest = 16 meters
time for which rocket was in the air = 3.77sec
Direct proportionality formula:
y = kx
where: y varies directly on x by k, the constant of proportionality;
In this problem, we substiture k with p.
y = total earning
p = hourly rate
x = no. of hours worked
y = 108
p = ?
x = 12 hrs
y = px
108 = p(12)
108/12 = p(12)/12
p = 9 hourly rate or rate per hour.
p = y/x
p = $108 / 12hrs
