Respuesta :
Answer:
a) The debris was 256 feet into the air after 2 seconds of the explosion.
b)
[tex]h(t) = -16t(t-10)[/tex]
Step-by-step explanation:
We are given the following in the question:
Initial Velocity = 160 feet per second
[tex]h(t) = 160t-16t^2[/tex]
The above function gives the height in feet and t is seconds after the explosion.
a) Height of the debris 2 second(s) after the explosion.
We put t = 2 in the above function
[tex]h(2) = 160(2)-16(2)^2 = 256[/tex]
Thus, the debris was 256 feet into the air after 2 seconds of the explosion.
b) Factor the polynomial
[tex]h(t) = 160t-16t^2\\= 16t(10-t)\\=-16t(t-10)[/tex]
