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Mathematics 21 Online
OpenStudy (anonymous):

Sandra throws an object into the air with an initial vertical velocity of 38 ft/s, from a platform that is 30 ft above the ground. How long will it take the object to hit the ground? A. 2 s B. 3 s C. 1 s D. 4 s

OpenStudy (jdoe0001):

hint: \(\bf \text{initial velocity}\\ h = -16t^2+v_ot+h_o \qquad \text{in feet}\\ \\ \quad \\ v_o=\textit{initial velocity of the object}\\ h_o=\textit{initial height of the object}\\ h=\textit{height of the object at "t" seconds}\)

OpenStudy (jdoe0001):

you're given \(bf v_o\ and \ h_o\) thus use them, plug them in keep in mind that, that the object hits the ground when y = 0

OpenStudy (jdoe0001):

anyhow \(\bf v_o\ and \ h_o\) are given

OpenStudy (jdoe0001):

|dw:1437610147955:dw| thus \(\bf \text{initial velocity}\\ h = -16t^2+v_ot+h_o \qquad \text{in feet}\\ \\ \quad \\ v_o=38\\ h_o=30\\ \\ \quad \\ h = -16t^2+38t+30\qquad \textit{hits the ground}\to {\color{brown}{ 0}} = -16t^2+38t+30\)

OpenStudy (anonymous):

i;m thinking B then

OpenStudy (jdoe0001):

because?

OpenStudy (jdoe0001):

why not just solve it for "t"?

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