Mathematics
CharlieVillata
12

Eyjafjallajökull is a Volcano in Ice land. During a recent eruption, the volcano, spewed out copious amounts of ash. One small was ejected from the volcano with an initial velocity of 368ft/sec. The height H, in feet, of our ash projectile is given by the equation H= -16t +368t 1. When does the ash projectile reach its maximum height? 2. What is its maximum height? 3. When does the ash projectile return to the ground?

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(1) Answers
Lolipop2804

1. The maximum height is at H` ( t ) = 0 H` ( t ) = ( -16 t² + 368 t )` = - 32 t + 368 - 35 t + 368 = 0 35 t = 368 t = 368 : 32 t = 11.5 sec. 2.  H max = - 16 · 11.5² + 368 · 11.5 = - 2,116 + 4.232 H max = 2,116 ft 3. It returns to the ground after: t = 2 · 11.5 = 23 seconds. 

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