Problem

Interpret the projectile average rate for height\(18~\text{ft}\) at \(t=1\) and\(42~\text{ft}\) at \(t=3\).

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output change=42−18=+24ft; input change=3−1=2s; signed average rate=+12ft/s; direction=increase/gain; magnitude=12; sentence=height increased by an average12 feet for each elapsed second over[1,3]

output change=42−18=+24ft; input change=3−1=2s; signed average rate=-12ft/s; direction=decrease; magnitude=-12; sentence=height decreased by negative12 feet per second over[1,3]

output change=+24ft; ending time3s used as divisor; signed average rate=+8ft/s; direction=increase; magnitude=8; sentence=height increased8 feet per second over[1,3]

output change=42−18=0ft because endpoint heights are averaged; input change=2s; signed average rate=0ft/s; direction=no change; magnitude=0; sentence=height stayed stationary throughout[1,3]

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Interpret the projectile average rate for height\(18~\text{ft}\) at \(t=1\) and\(42~\text{ft}\) at \(t=3\).

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