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If you throw a ball and it makes a parabola and all you know is its maximum height and displacement can you find its time in the air?
Yes you can.
All you need to know is it's maximum height to find the total time.
We are not concerned with displacement because it's horizontal velocity is constant and there are no horizontal forces.
Let it's maximum height = h
It's vertical velocity at it's highest position = 0
Acceleration due to gravity = g
To find the time it takes the ball to come down from it's highest position can be calculated using the equation, s = ut + (1/2)at2 (Where s= displacement, u= initial velocity, a=acceleration and t=time)
=> h = 0 x t + (1/2)gt2
=> h = (1/2)gt2
=> t2 = 2h/g
=> t = √(2h/g)
The time it takes for the ball to go up is same as it is to come down because the acceleration is same for both the cases, hence the total time the ball remains in air will be 2t = 2 x √(2h/g)
What else can I help you with?
Explain how the maximum height is related to the maximum potential energy?
This question makes sense in the context of something like a pendulum. At the top of its swing, a pendulum is at maximum height, is not moving and so has zero kinetic energy, and has maximum potential energy since all its energy is potential. As it falls, it gradually moves with increasing speed, so its potential energy is being converted to kinetic energy. At the bottom of the swing, it is moving at maximum speed, and all its energy is kinetic, none is potential, Then it starts to move upwards again, and its kinetic energy is gradually converted back to potential energy.
How does displacement affect the speed of hydraulic motor?
Displacement in a hydraulic motor refers to the volume of fluid it can move in a single revolution. A larger displacement generally leads to higher speed because more fluid is being pumped per revolution, resulting in increased output speed. Conversely, a smaller displacement will result in lower speed due to less fluid being moved per revolution.
20kg mass falls 10m what is maximum velocity?
The maximum velocity can be found using the equation v = sqrt(2gh), where v is the velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height (10m). Plugging in the values, v = sqrt(29.810) = 14 m/s.
What makes of the majority of the body weight of a human?
human body weight varies depending on height. But the standard that it used to do calculations is 70 kg or about 150 punds.
What caused the water level to change in your lab expeirement?
The water level changed in the lab experiment due to the displacement of water by the object being immersed in it. This displacement caused the water level to rise equal to the volume of the object submerged.
How do you measure amplitude in a simple pendulum?
Amplitude in a simple pendulum is measured as the maximum angular displacement from the vertical position. It can be measured using a protractor or by observing the maximum angle the pendulum makes with the vertical when in motion.
How do you make a parabola on a graphing calculator?
just put x^2=y or (x^2)/y on the calculator, and then it makes a simple parabola.
What makes a parabola a parabola?
A parabola is a quadratic figure. It is an intersection of a right conical surface, a plane parallel to a generating straight line of the surface. Basically, it's an arc shape. It can open up, down, left, or right.
If a quadratic makes a parabola what is the name of the shape produced by a cubic function?
A cubic.
Resolve a displacement of 700 cm into two components along direction lines that lie on opposite sides of the displacement and each of which makes an angle of 30 with the displacement?
no answer
What are the points of contact of the parabola y equals 6x2 -7x plus 2 makes with the y and x axes on the Cartesian plane?
Parabola: y = 6x^2 -7x+2 It makes contact with the y axis at: (0, 2) It makes contact with the x axis at: (2/3, 0) and (1/2, 0)
The sum of the base and the height of a triangle is 20cm Find the demesions for which the area is maximum?
If we say that the base width is "b", the height is "h", and the area is "a", then we are told that: b + h = 20 ∴h = 20 - b Now, given the nature of a triangle, we know that it's area is half it's base times it's height, so we can also say: a = bh/2 Now we can combine those equations, narrowing it down to one variable ∴a = b(20 - b)/2 ∴a = 10b - b2/2 This equation gives us a parabola. Looking at the equation, you can see that it's an inverted parabola, with it's peak pointing "upwards". To find the point at which that parabola peaks, we need to know when it has a slope of 0. To find that point, we first need the slope of the curve, which we can get by taking it's derivative: a = 10b - b2/2 ∴a' = 10 - b if a' = 0, then b = 10. ∴ The highest point on that curve occurs when b = 10, ie, when it's base has a width of ten and when it's height is also 10. This makes sense. Consider: the highest ratio of area to border in a rectangle will happen when that rectangle is a square. Since the area of a rectangle is in fact half the area of the a square with the same width and height, that same relationship will hold true. So in order to get the maximum ratio of area to perimeter in a triangle, it's width and height should be the same.
Explain how the maximum height is related to the maximum potential energy?
This question makes sense in the context of something like a pendulum. At the top of its swing, a pendulum is at maximum height, is not moving and so has zero kinetic energy, and has maximum potential energy since all its energy is potential. As it falls, it gradually moves with increasing speed, so its potential energy is being converted to kinetic energy. At the bottom of the swing, it is moving at maximum speed, and all its energy is kinetic, none is potential, Then it starts to move upwards again, and its kinetic energy is gradually converted back to potential energy.
What makes a solid shape a prism?
A solid shape with regular area and height makes a prism. A solid shape with regular area and height makes a prism. A solid shape with regular area and height makes a prism.
Does doubling a objects average speed always double the magnitude of its displacement?
No, doubling an object's average speed does not always double the magnitude of its displacement. The displacement of an object also depends on the direction in which it travels. The relationship between speed and displacement is affected by the object's path and any changes in direction it makes during its journey.
How will frequency change if you double the amplitude?
Doubling the amplitude of a wave will not change its frequency. Frequency is determined by the number of complete oscillations a wave makes in a given time period, while amplitude refers to the maximum displacement of particles from their rest position.
What makes a parabola go to the left or right instead of up or down?
This is kind of obvious, a parabola going up and down wouldn't serve a purpose, since it's taking signals from a satellite in space. It goes left and right to get a better signal.
