Question: During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h =-16t

During batting practice, two pop flies are hit from the same location,

During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h =-16t + 56t and h = -1612+1561-248, where t is the time that has passed since the first ball was hit Explain how to find the height at which the balls meet Then find the height to the nearest tenth.

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To find the height at which the two balls meet we need to set the two height equations equal to each other and solve for the time t Once we have the time we can substitute it back into either equation to find the height The equations are h1 16t2 56t h2 16t2 156t 248 Step 1 Set the equations equal to each other 16t2 56t 16t2 156t 248 Step 2 Simplify the equation 56t 156t 248 Subtract 56t from both sides 0 100t 248 Step 3 Solve for t 100t 248 t frac248100 t 248 text seconds Step 4 Substitute t back into either height equation ... View full answer

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