What are some scenarios where using a quadratic equation in real life to solve a problem would come in handy?
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When an object is thrown or projected, it follows a curved path called a trajectory. If we neglect air resistance, and assume that the object is fairly dense, and that the object is close to the earth's surface,
the path could be described by:
H = vt + h -.5at^2.
H = the height of the object above its initial position (usually taken as the ground) after some elapsed time
v = the initial velocity of the object
t = the elapsed time
h = the initial height of the object above ground
a = the acceleration due to gravity: approximately 32 feet per second squared or 9.8 meters per second squared.
Examples of objects which follow such trajectories:
a diver jumping off a platform into the water
a stone dropped into a well
an object dropped from a building onto the street below
If the object is thrown at an angle rather than simply dropped, the equation above still works, but angles are introduced and trigonometry enters the equation.
the path of a basketball as it leaves the player's hand on the way to the basket
artillery rounds that are shot from a gun or a cannon
the path of a baseball as it leaves a player's bat after being struck
are all examples of such situations.
the path could be described by:
H = vt + h -.5at^2.
H = the height of the object above its initial position (usually taken as the ground) after some elapsed time
v = the initial velocity of the object
t = the elapsed time
h = the initial height of the object above ground
a = the acceleration due to gravity: approximately 32 feet per second squared or 9.8 meters per second squared.
Examples of objects which follow such trajectories:
a diver jumping off a platform into the water
a stone dropped into a well
an object dropped from a building onto the street below
If the object is thrown at an angle rather than simply dropped, the equation above still works, but angles are introduced and trigonometry enters the equation.
the path of a basketball as it leaves the player's hand on the way to the basket
artillery rounds that are shot from a gun or a cannon
the path of a baseball as it leaves a player's bat after being struck
are all examples of such situations.
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It kind of depends on your definition of real-life. It's up to you if you want to have a life that uses math or not. People have been solving quadratic equations since the ancient Egyptians. An example of someone who isn't an engineer would be an investigator that uses stopping distance to figure out the details of a crash.
d = (1/2)at^2 + vt.
d = (1/2)at^2 + vt.
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I'll start off with a few, these we do automatically
Shooting or throwing any kind of projectile say in sport.
Making something curved out of wood.
Wall papering around an arch
Judging a bend at high speed on a bike or even a car
Jumping
Shooting or throwing any kind of projectile say in sport.
Making something curved out of wood.
Wall papering around an arch
Judging a bend at high speed on a bike or even a car
Jumping
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Trajectories
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architecture, engineering, and experiments involving statistics.
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idk
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money management.
thats all i can think of off the top of my head
thats all i can think of off the top of my head