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 2 years ago
An object is thrown up from a height of 160 feet. Its velocity at t is v(t)=32t+24 ft/ sec a) how high will it go? b) with what velocity will it hit the ground?
 2 years ago
An object is thrown up from a height of 160 feet. Its velocity at t is v(t)=32t+24 ft/ sec a) how high will it go? b) with what velocity will it hit the ground?

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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1max height is at the vertex. use \(t=\frac{b}{2a}\) to find it

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1oh but first you need the equation. it is \[h(t)=16t^2+v_0t+h_0\] in your case \(h_0=160\) and \(v_0=\) hmm confused. what is the initial velocity?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1oh it is 24, so your equation is \[h(t)=16t^2+24t+160\] max when \(t=\frac{24}{32}=\frac{3}{4}\) replace \(t\) by \(\frac{3}{4}\) to find the max height
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