SOLUTION: The military is performing missile tests. A new missile is launched from the ground and it’s path can be modelled by the quadratic equation
y=-4(X-10)^2 +400 , where y is the mi
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y=-4(X-10)^2 +400 , where y is the mi
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Question 1195454: The military is performing missile tests. A new missile is launched from the ground and it’s path can be modelled by the quadratic equation
y=-4(X-10)^2 +400 , where y is the missile’s height in meters and x is the time in seconds. 10 seconds later, a second heat-seeking missile is
launched to intercept and explode the first missile before it reaches the ground. The second missile’s path can be modelled by the quadratic equation
y= -2(x-20)^2+300
, where y is its height in meters and x is its time in seconds. At what time and height should the second missile
reach and explode the first missile? Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website! ......eq.1
.....eq.2
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to find at what time and height should the second missile reach and explode the first missile, find intersection point of the system above
}......solve for }
}....simplify
}
}
}
}
->exact solution
->approximately
find
......eq.1
-> exact solution
->approximately
At time seconds and height meters the second missile should reach and explode the first missile