An object is dropped from a…

Maths Questions

An object is dropped from a small plane. As it falls, its distance ( d ) above the ground after ( t ) seconds is given by the formula ( d = -16t^2 + 1000 ). Which inequality can be used to find the interval of time it takes for the object to reach a height greater than 300 feet above the ground?

Answer

The necessary inequality is [tex]-16t^2+1000>300[/tex]. Here’s how to arrive at it: Start with the given formula for distance, which is [tex]d=-16t^2+1000[/tex], where d represents the distance in feet and t represents time in seconds. Since we are interested in when the height is more than 300 feet, we set up the inequality as follows: [tex]-16t^2+1000>300[/tex]. Therefore, the appropriate inequality to solve is [tex]-16t^2+1000>300[/tex].

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