one piece of ash was ejected from the volcano with the velocity of 368ft/sec. The height H, in feet of our ash projectile is giv
en by the equation. when does the ash projectile reach maximum height? what is its maximum height? when does the ash projecticle return to the ground? H=16t^2+368
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In the plane, we have
everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the plane, we have
, which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the plane,
, so
which is a circle centered at (0, -10, 3) of radius .