Mathematics
Mathematics, 13.10.2020 15:01, gamboaserg

The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. The time (t) when the object will be at the same height as the building is found to be t = –2 and t =5. Which statement BEST describes the validity of these solutions? A. Neither solution is valid since time values cannot be squared.

B. The solution t = – 2 is the only solution since 5 seconds is an unreasonable amount of time for the object to reach a height of 50 feet.

C. The solution t = 5 is the only valid solution to this system since time cannot be negative.

D. Both are valid solutions to this system since both values make the equation h=−16t^2 + 48t + 210 true.

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