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The mathematician spent all day trying to derive the complex formula.
The answer depends on what information you have.
Area = 0.5*(sum of parallel sides)*height
To derive the vertical motion formula, you start with the basic equations of kinematics. The key equation for vertical motion under constant acceleration (like gravity) is ( s = ut + \frac{1}{2}at^2 ), where ( s ) is the vertical displacement, ( u ) is the initial velocity, ( a ) is the acceleration (typically ( -9.81 , \text{m/s}^2 ) for free fall), and ( t ) is the time. This formula can be rearranged or modified based on initial conditions, such as when the object is dropped or thrown upwards. Understanding the initial velocity and direction of motion is crucial for applying these formulas correctly.
It is a set that you derive from some initial data or formula depnds on the question. I assume you know what a set is?
To derive the formula for force (F) using the equation fma, you can rearrange the equation to solve for force. By dividing both sides of the equation by mass (m), you get F ma, where force (F) is equal to mass (m) multiplied by acceleration (a). This formula shows the relationship between force, mass, and acceleration.
Lateral displacement can be derived using the formula: lateral displacement = initial velocity * time + 0.5 * acceleration * time^2. This formula takes into account the initial velocity, acceleration, and time taken for the object to undergo lateral displacement.
The formula to calculate density of a liquity is the following: Density=mass/volume. The density of liquity consists of grams per centimeter.
Acceleration is the rate of change of velocity over time. By dividing a unit of velocity by a unit of time, we can derive the unit of acceleration. For example, if velocity is measured in meters per second (m/s) and time is measured in seconds (s), acceleration would be in meters per second squared (m/s^2).
Ozone layer has no formula. However there is a formula for ozone and that is O3.
The mathematician spent all day trying to derive the complex formula.
The answer depends on what information you have.
That is done via calculus. Specifically, take the movement over a small distance, calculate the change in velocity divided by the time, and figure out what happens if the time interval gets smaller and smaller - as they say in calculus, "get the limit of the acceleration as the time tends towards zero".
The general formula for a moving wave is: v = f λ where v is speed (in m/s), f is frequency (in Hz) and λ is wavelength (in m) For EM radiation, the speed is a constant (speed of light = c ≈ 300,000,000 m/s), so you can derive frequency as: f = c/ λ
Consider a body of mass m. It initially moves with velocity u and accelerates at a constant rate a. It attains a final velocity v after timet. This acceleration is caused by force F. Now, Newton's second law of motion can be mathematically represented asYou know that,Using this, we obtainF = ma = Mass � AccelerationThus, we can re-state Newton's second law of motion
Classic IB student...
If this rectangular solid is actually in your possession, then you would measure it and calculate the volume, after which you can derive the density by dividing the mass by the volume. If it is not in your possession, then you are clearly being asked to call upon your psychic powers to solve this problem.