Not exactly:relativitydude said:We know the gravitational acceleration equation is g = GM/r^2, integrate that in respect to r to yield -GM/r
That's only good for uniformly accelerated motion.I thought I could use
?Y = VoT + .5AT^2
No. What problem are you trying to solve? The height of a projectile as a function of time? That's not so simple.For some reason this is not working, is my line of reasoning correct?
Changing gravitational field can greatly affect height calculations as the force of gravity determines how quickly an object will accelerate towards the ground. This means that in a stronger gravitational field, an object will fall faster and therefore reach a greater height in a given amount of time.
The formula for calculating height achieved under changing gravitational field is h = (1/2)gt^2, where h is the height, g is the acceleration due to gravity, and t is the time.
To account for changing gravitational field, you will need to know the value of the acceleration due to gravity at the different locations or points in time. This value can vary depending on the mass and distance of the objects involved.
Yes, the height calculation can also be affected by air resistance, initial velocity, and other external forces acting on the object. These factors should also be taken into account when calculating height achieved under changing gravitational field.
Height calculations under changing gravitational field can be applied in various fields such as physics, engineering, and astronomy. For example, it can be used to determine the maximum height a rocket can reach, or the height of a satellite orbiting around a planet with varying gravitational fields.