How will the equation of motion for object moving with a uniform veloc...
Introduction:
The equation of motion describes the relationship between an object's displacement, velocity, acceleration, and time. When an object is moving with a uniform velocity, it means its speed and direction remain constant. In this case, the equation of motion will undergo specific changes.
Equation of Motion:
The equation of motion for an object moving with a uniform velocity can be written as:
s = ut + 1/2 at^2
Where:
s = displacement
u = initial velocity
t = time
a = acceleration
When an object is moving with a uniform velocity:
1. Acceleration (a) is zero:
- Since the object is moving with a constant velocity, the acceleration is zero.
- In the equation of motion, when a = 0, the term involving acceleration (1/2 at^2) becomes zero.
- Therefore, the equation simplifies to:
s = ut
2. Displacement (s) remains constant:
- When an object is moving with a uniform velocity, its displacement remains constant.
- The equation of motion simplifies to:
s = ut
where s is a constant value.
3. Velocity (v) remains constant:
- As the object is moving with a uniform velocity, the velocity remains constant.
- The equation of motion for velocity is:
v = u + at
- Since acceleration (a) is zero, the equation simplifies to:
v = u
where v is a constant value.
4. Time (t) has no effect:
- Since the object is moving with a uniform velocity, the time does not affect the equation of motion.
- The equation remains the same regardless of the value of time.
Conclusion:
When an object is moving with a uniform velocity, the equation of motion simplifies as:
- Displacement (s) equals the initial velocity (u) multiplied by time (t).
- Velocity (v) remains constant and equals the initial velocity (u).
- Time (t) has no effect on the equation.
How will the equation of motion for object moving with a uniform veloc...
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