A ball is thrown up at 12m/s. Assume no air resistance and you have to assume that the gravitational field is constant at 9.8ms^-2 then
(for this x will represent the number of seconds since the object was first at a height of 0m)
to work out the speed at each point in time we use the equation 12-9.8x
the 12 is the original speed and the -9.8 is the acceloration towards the earth and the x is the seconds if we calculate the units
12m/s+(-9.8m/s/s*xs) = 12m/s + (-9.8x)m/s this means that the end units are m/s which is speed.
to work out the position we have to times by time again to get m
so the (position at time x) = 12x+(-9.8)*(x^2)
then to find the highest point use the formula x=-b/2a which in this case as we are using the quadratic -9.8x^2+12x+0
-b = -12
2a = -19.6
-12/19.6 = about 0.61 seconds (this is at what time it reaches its highest point) as we have x we can work out the height which is
-9.8(0.61)^2 +12(0.61)+0 = 3.67m
so in answer to the question proposed as an answer for the original question the object would reach 3.67 meters
I think you need to try and clear up what you actually want as an answer for the original question before you can get a proper answer to it.
(james.space.ict@hotmail.co.uk) if you have more questions
To find the mass of the book, you can use the formula Weight = Mass x Acceleration due to gravity. The acceleration due to gravity is approximately 9.81 m/s^2. Given that the weight of the book is 3.20 N, you can solve for the mass by dividing the weight by the acceleration due to gravity.
The acceleration of gravity can be calculated using the formula a = 9.81 m/s^2, where "a" represents the acceleration due to gravity. This value is a constant for objects falling in Earth's gravitational field.
Potential Energy=mass*acceleration due to gravity*height. PE=mgh The acceleration due to gravity= 9.8m/s
If acceleration is equal to gravity (approximately 9.8 m/s^2 on Earth), then the weight of the object would be equal to its mass multiplied by the acceleration due to gravity. This relationship is described by the formula Weight = mass x acceleration due to gravity.
The force of gravity on an object is determined by its mass and the acceleration due to gravity. The formula to calculate this force is: force of gravity = mass of the object × acceleration due to gravity. On Earth, the acceleration due to gravity is approximately 9.81 m/s^2.
To calculate weight, you multiply mass by the acceleration due to gravity. The formula is weight = mass x acceleration due to gravity. The acceleration due to gravity is typically around 9.81 m/s^2 on Earth.
Mass and gravity
The dimensional formula of acceleration due to gravity is (LT^{-2}), where L represents length and T represents time. This is derived from the formula for gravitational acceleration (g = \frac{F}{m}), where force (F) is measured in mass times acceleration.
Weight is the force exerted on an object due to gravity. It is proportional to an object's mass and the acceleration due to gravity. The formula to calculate weight is weight = mass x acceleration due to gravity.
The formula for calculating weight is weight = mass x gravity, where mass is the amount of matter in an object (measured in kilograms) and gravity is the force of gravity pulling on the object (approximately 9.81 m/s^2 on Earth).
The force that changes when acceleration due to gravity changes is weight. Weight is the force acting on an object due to gravity, and it depends on the acceleration due to gravity at a specific location. As acceleration due to gravity changes (e.g. on different planets or at different altitudes), the weight of an object will also change.
Gravity and acceleration are definitely NOT the same. Gravity and acceleration can have the same EFFECTS.Dark matter is some unknown substance, which provides gravitational attraction. As a result, just like any regular matter, it will accelerate any nearby matter. But calling it "dark acceleration" doesn't really solve the mystery of what it's made of.