christiannaallen christiannaallen
  • 13-12-2021
  • Mathematics
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A ball is thrown vertically upward with an initial velocity of 80 feet per second. The distance s​ (in feet) of the ball from the ground after t seconds is


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jdoe0001 jdoe0001
  • 13-12-2021

if we can assume the ball is being thrown from the ground upwards, then we can say that the inital height of it is 0, whilst its initial velocity is 80 ft/s, thus

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&80\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+80t+0\implies h(t)=-16t^2+80t[/tex]

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