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Can you think of any real-world situations that when drawn on an xy-plane might appear as a shifted or stretched graph of a basic equation such as y equals x or y equals x2?
baseball being thrown? soccer ball?
If an object is thrown upward with an initial velocity of 32 feet per second from 40 feet above the ground write the height equation?
The height, in feet, above the ground at time t, H(t) = 40 + 32*t - 16*t2
What is a parabola?
A form of arch defined by a moving point which remains equidistant from a fixed point inside the arch and a moving point along a line. This shape when inverted into an arch structure results in a form which allows equal vertical loading along its length. A parabola is the graph of a quadratic equation. Mathworld has some nice drawings. Need a link? You got it. A Parabola is the set of all points that are equidistant from a point and a line. The line is called the directrix and the point is called the focus. Each point on the parabola is as far from the directrix as it is from the focus. It is the same shape of a curve you will find in the reflector of a flashlight bulb, or in the arc of a baseball when it is thrown or hit.
The height h of a ball thrown into the air with an initial vertical velocity of 48 feet per second from a height of 5 feet above the ground is given by the equation?
At any time 't' seconds after the ball is released,until it hits the ground,h = 5 + 48 t - 16.1 t2
If a ball is thrown into the air with a velocity of 38 ft per sec its height in feet after t seconds is given by y equals 38t minus 16t2 Find the velocity when t equals 2?
Substitute the 2 in for t.38(2)-16(2)^276-64=12
What curved path traveled by a thrown baseball is known as?
projectile motion
Is acceleration greater when the object is thrown vertically or horizontally?
Acceleration is dependent on the initial velocity of how fast the object is leaving the projectile. The vertical acceleration is greater when the object is falling than when the object reaches the peak in height. However, if the object is thrown horizontally and there is no parabola in its shape then there is not as great of an acceleration.
What happens to the motion of a thrown Object here on earth?
If thrown directly upwards, it slows down due to gravitational attraction and aerodynamic drag. It reaches a maximum height and then falls. Its rate of descent is accelerated by the earth's gravity but decelerated by aerodynamic drag. If thrown at an angle, it follows a trajectory in which the vertical motion is accompanied by horizontal motion which is decelerated by aerodynamic drag.If you disregard drag, then the vertical motion is symmetrical: at any height the speed going up is exactly the same as the speed on descent. Also, for a body thrown at an angle, the trajectory is a parabola.
How is parabola used in basketball?
A thrown basketball follows a path that can be approximated by a parabola. The approximation ignores air resistance and any curve imparted by spin on the ball. Over the distances involved, both are likely to be negligible.
Can you think of any real-world situations that when drawn on an xy-plane might appear as a shifted or stretched graph of a basic equation such as y equals x or y equals x2?
baseball being thrown? soccer ball?
How could the quadratic equation be used in technology?
As one example, the quadratic equation can be used to model many different phenomena - if you were to measure the height of a baseball as it was thrown straight up in the air and pulled down again, and plot the height with respect to time, it would look like a quadratic equation. Computer modelling is a large field with many applications in physics, meterology, and even social sciences.
If an object is thrown upward with an initial velocity of 32 feet per second from 40 feet above the ground write the height equation?
The height, in feet, above the ground at time t, H(t) = 40 + 32*t - 16*t2
What is a parabola?
A form of arch defined by a moving point which remains equidistant from a fixed point inside the arch and a moving point along a line. This shape when inverted into an arch structure results in a form which allows equal vertical loading along its length. A parabola is the graph of a quadratic equation. Mathworld has some nice drawings. Need a link? You got it. A Parabola is the set of all points that are equidistant from a point and a line. The line is called the directrix and the point is called the focus. Each point on the parabola is as far from the directrix as it is from the focus. It is the same shape of a curve you will find in the reflector of a flashlight bulb, or in the arc of a baseball when it is thrown or hit.
What are the 3 variables when you throw a bolloon filled with water before it breaks.?
force thrown distance height thrown
What is the maximum height hmax that the ball reaches when thrown into the air?
The maximum height hmax that a ball reaches when thrown into the air is the highest point it reaches before falling back down.
Motion of a body thrown from certain height?
The body will move: * Because of its initial motion (the question states that it is thrown) * Because of gravity
The height h of a ball thrown into the air with an initial vertical velocity of 48 feet per second from a height of 5 feet above the ground is given by the equation?
At any time 't' seconds after the ball is released,until it hits the ground,h = 5 + 48 t - 16.1 t2
