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An explosion causes debris to rise vertically. the formula h=-16t^2+48t describes the height of the debris above the ground, h, in feet, t seconds after the explosion. when will the debris be 32 feet above the ground?
To get the result we have to subsitute h=32 to given equation and solve it. 32=-16t^2+48t /-32 0=-16t^2+48t-32 /*(-1) 0=16t^2-48t+32 /:4 4t^2-12t+8=0 /:4 t^2-3t+2=0 Now we can use delta delta=b^2-4ac delta=9-4*2=1 x1=[tex] \frac{3-1}{2}=1 [/tex] x2=[tex] \frac{3+1}{2}=2 [/tex] The answer is 1 second and 2 second (when hover and falling down)
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