All questions of Equation of Uniformly Accelerated Motion for SSS 2 Exam

Understanding Uniformly Accelerated Motion
In uniformly accelerated motion, the system can be fully described using a set of variables. To understand why the correct answer is option 'B' (3 variables), let’s break down the components of the motion:
Key Variables in Uniformly Accelerated Motion
To fully characterize uniformly accelerated motion, you need the following three variables:
- Initial Velocity (u): This is the velocity of the object at the start of the observation period. It provides a baseline for how fast the object was moving before acceleration began.
- Acceleration (a): This represents the constant rate of change of velocity over time. It indicates how quickly the object's speed is increasing or decreasing.
- Time (t): This is the duration for which the object is in motion under the influence of acceleration. It helps in determining how long the acceleration affects the object.
Derived Variables
Once you have these three variables, you can calculate other important metrics, such as:
- Final Velocity (v): Using the equation v = u + at, you can determine how fast the object is moving after a certain time period.
- Displacement (s): The distance covered by the object during the acceleration can be calculated with the equation s = ut + (1/2)at².
Conclusion
In summary, three variables (initial velocity, acceleration, and time) are necessary to fully describe a system in uniformly accelerated motion. With these, you can derive other important parameters, but the basic three are essential for a complete understanding of the motion.

Explanation:

Initial Speed:
- In a gravity-less environment, both the coin and the bag of rocks will have the same initial speed when thrown.

Effect of Gravity:
- In a gravity-less environment, there is no force acting on the objects to change their speed or direction.
- Therefore, both the coin and the bag of rocks will continue to move at the same speed without any acceleration or deceleration.

Newton's First Law of Motion:
- According to Newton's First Law of Motion, an object in motion will stay in motion with the same speed and in the same direction unless acted upon by an external force.
- Since there are no external forces acting on the coin or the bag of rocks in this scenario, they will continue to move with the same speed.

Conclusion:
- Therefore, both the coin and the bag of rocks will travel with the same speed in a gravity-less environment.

Given:
Distance = 15 m
Time = 15 mins
Initial velocity = 0 m/min

To find: Final velocity

Formula:
Velocity = Distance / Time

Calculation:
Velocity = 15 m / 15 mins

Converting minutes to seconds:
1 min = 60 seconds
15 mins = 15 * 60 seconds = 900 seconds

Velocity = 15 m / 900 seconds

Simplifying the expression:
Velocity = 1/60 m/second

Converting seconds to minutes:
1 minute = 60 seconds
1 second = 1/60 minutes

Velocity = 1/60 m/second * 1/60 minutes/second
Velocity = 1/3600 m/minute

Therefore, the final velocity is 1/3600 m/min.

Answer: The final velocity in m/min is option 'A' (2).