Exit Ticket for Lesson #3.6 An object is fired upwards with an initial velocity
of 112 feet per second. Its height, in feet above
the ground, as a function of time, in seconds
since it was fired, is given by the equation below.
h(t)= -16t2 +112t
a. Determine at what height the object was
fired.
b. Calculate, algebraically, the time that the
rocket reaches its greatest height and the
maximum height.
C. Calculate, algebraically, the time when the
rocket reaches the ground.
d. Sketch the graph of this function, labeling
all important points you found.
e. Justify your thinking using math evidence
and vocabulary

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.