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You are 6ft tall and throw a baseball up with an initial velocity of 34ft/sec creating the equation p(t) = 16t^2 + 34t + 6 where p(t) represents the position of the ball based on time, and t represents time.What is a realistic domain for this problem?

You Are 6ft Tall And Throw A Baseball Up With An Initial Velocity Of 34ftsec Creating The Equation Pt 16t2 34t 6 Where Pt Represents The Position Of The Ball Ba class=

Sagot :

Given:

The equation for the height of the ball is,

[tex]p(t)=-16t^2+34t+6[/tex]

Explanation:

The realistic domain of the equation is possible valu of t for which function is defined. The function is defined for all values of t, but time and height can never take negative values. So plot the equation to etermine the realistic domain of equation,

From the graph it can be observed that height is more than or equal to 0 for t lie between 0 and 2.289. Thus realistic domain of the function is,

[tex]\lbrack0,2.289\rbrack\approx\lbrack0,2.29\rbrack[/tex]

Answer: [0,2.29]

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