Question

a rocket is fired upward from ground level with an initial velocity of 534.1 m/sec. the height of the rocket ( s(t) ) in meters is a function of the time ( t ) in seconds after launch.

( s(t)=-4.9 t^{2}+534.1 t )

part: ( 0 / 4 )

part 1 of 4

(a) what characteristics of ( s ) indicate that it is a quadratic function?

the function ( s ) is quadratic because it is in the form ( s(t)=a square+b square+c ), where ( a
eq 0 ).

Explanation:

Step1: Recall the general form of a quadratic function

The general form of a quadratic function is \(s(t)=at^{2}+bt + c\), where \(a
eq0\).

Step2: Compare with the given function

Given \(s(t)=-4.9t^{2}+534.1t\), here \(a=-4.9
eq0\), \(b = 534.1\), and \(c = 0\).

Answer:

The function \(s\) is quadratic because it is in the form \(s(t)=a\boldsymbol{t^{2}}+b\boldsymbol{t}+c\), where \(a
eq0\).