3. A Professional fireworks team shoots an 8-in mortar straight upwards from ground level with an initial speed of 208 f
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3. A Professional fireworks team shoots an 8-in mortar straight upwards from ground level with an initial speed of 208 f
3. A Professional fireworks team shoots an 8-in mortar straight upwards from ground level with an initial speed of 208 ft/sec. a) Write a function modeling the vertical position s(t) (in ft) of the shell at a time t seconds after launch. (Consider the equation s(t)=-gt² + vt + s, where g is the gravitation constant of 32 the initial velocity, and so is the initial height.) sec V is b) The mortar is designed to explode when the shell is at its maximum height. How long after launch will the shell explode? c) The spectator can see the shell rising once it clears a 192- ft tree line. For what period of time after launch is the shell visible before it explodes? Round to two decimal places.