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, 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.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
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 ...
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Step: 2
Step: 3
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Authors: Jr Ulric J Gelinas, Ulric J Gelinas, Richard B Dull
8th Edition
0324663803, 9780324663808
