Question

An object was thrown from 60 feet high. The equation h=-16t2+60

Models the height of the object over time. After how many seconds will the object land? Round the answer to the nearest tenth
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Answer 1

1.9 Seconds

Explanation:

The equation that models the height of the object is given as:

`h=-16t^2+60`

The object will land when its height, h(t)=0

`\text{When h(t)=0}\\-16t^2+60=0\\-16t^2=-60\\$Divide both sides by -16\\(-16t^2)/(-16) =(-60)/(-16)\\t^2=3.75\\t=√(3.75) \\t=1.94\:seconds\\\approx 1.9\:seconds $(to the nearest tenth)`

The object will land after 1.9 seconds.