The equation for position-time relation is S = ut + ½ at 2. Equations of motion are used to calculate the displacements, final velocity, time, etc. of a moving object without taking the force acting on it into account.
Equation for Position-time Relation
These formulae are only accurate when the body's acceleration is constant and it moves straight ahead.
The Position-Time graph is the graph where the time t and the particle's instantaneous position x are shown on the y-axis and x-axis, respectively.
To create x-y planar graphs
- Place an independent variable on the x-axis at all times.
- The y-axis should be used to plot dependent variables.
- The dependent variable is reliant on the independent variable via some mathematical function.
The three equations of motion are:
S = ut + ½ at2
V = u + at
V2 = u2 + 2aS
V is the final velocity,
a is the acceleration of the body under motion,
s is the distance traveled by the body under motion,
u is the initial velocity,
t is the time taken by the body under motion.
From the above explanation, we can see that
S = ut + ½ at2 represents the equation for position-time relation.
Which of the following represents the Equation for Position-time Relation?
S = ut + ½ at2 represents the equation for position-time relation. It can be used in the calculation of displacement, velocity, and time.