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
Where,
V is the final velocity,
a is the acceleration of body under motion,
s is the distance travelled 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.
Summary:-
Which of the following Represents the Equation for Position-time Relation? - 1. 2as = v2 = u2 2. S = ut + ½ at2 3. v = u - at 4. v = u + at
S = ut + ½ at2 represents the equation for position-time relation. It can be used in the calculation of displacement, velocity and time
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