Solve the Problem $256 \mathrm { ft } / \mathrm { sec }$

question 218

Multiple Choice

Solve the problem.
-A professional fireworks team shoots an 8-in. mortar straight upwards from ground level with an initial speed of $256 \mathrm { ft } / \mathrm { sec }$ .
a. Write a function modeling the vertical position $s ( t )$ (in $\mathrm { ft }$ ) of the shell at a time $t$ seconds after launch.
b. The spectators can see the shell rising once it clears a 768-ft tree line. From what period of time after launch is the shell visible?

• A) a. \(s ( t ) = - 16 t ^ { 2 } + 256 t\)
• b. The spectators can see the shell between 4 and \(12 \mathrm { sec }\) after launch.
• B) a. \(s ( t ) = - 16 t ^ { 2 } + 256 t + 768\)
• b. The spectators can see the shell between 4 and \(24 \mathrm { sec }\) after launch.
• C) a. \(s ( t ) = - 32 t ^ { 2 } + 256 t\)
• b. The spectators can see the shell between 4 and \(12 \mathrm { sec }\) after launch.
• D) a. \(s ( t ) = - 32 t ^ { 2 } + 256 t\)
• b. The spectators can see the shell between 4 and 24 sec after launch.

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