Question

a ball is thrown down from a balcony with a vertical velocity (in ft/s) given by ( v(t)=-32t - 10 ). choose the inequality that represents the time for which the velocity of the ball will be between -90 and -58 ft/s.
( -90>-32t - 10>-58 )
( -90<-32t - 10<-58 )
( -32t - 10<-90<-58 )
done

Explanation:

Step1: Understand the inequality meaning

We want to find when the velocity \(V(t)= - 32t - 10\) is between \(-90\) and \(-58\). In inequality terms, if a value \(x\) is between \(a\) and \(b\) (\(a < b\)), we write \(a

Step2: Substitute into the inequality

Substituting \(x=-32t - 10\), \(a = - 90\), and \(b=-58\) into \(a

Answer:

\(-90<-32t - 10<-58\) (the second option)