A ball is thrown down from a balcony with a vertical velocity (in ft/s) given by V(t)= –32t – 10. Chose the inequality that represents the time for which the velocity of the ball will be between –90 and –58 ft/s.

The velocity is V(t) = −32t − 10, and “between −90 and −58” means it is greater than −90 and less than −58. Substituting the velocity expression gives −90 < −32t − 10 < −58. This matches choice B, “−90 < −32t − 10 < −58.”

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