A accelerates from rest to a speed of 100km/sec in 25sec. Its acceleration is

Question

Answer

Acceleration of an Object from Rest to 100 km/sec in 25 sec

Acceleration is defined as the rate of change of velocity with time. It is a vector quantity that has both magnitude and direction. In this scenario, the object accelerates from rest to a speed of 100 km/sec in 25 seconds. Hence, we can calculate its acceleration using the following formula:

Acceleration Formula:

Acceleration = (Final Velocity – Initial Velocity) / Time Taken

Given Data:

Initial Velocity (u) = 0 km/sec

Final Velocity (v) = 100 km/sec

Time Taken (t) = 25 sec

Calculation:

Acceleration = (100 km/sec – 0 km/sec) / 25 sec = 4 km/sec²

Explanation:

The acceleration of the object is 4 km/sec². This means that for every second, the object’s velocity increases by 4 km/sec. The direction of the acceleration is in the direction of the velocity vector. In this case, the acceleration is in the direction of the object’s motion. The object’s speed increases uniformly from 0 km/sec to 100 km/sec in 25 seconds. The acceleration remains constant throughout the motion, as there are no external forces acting on the object.

Conclusion:

The acceleration of an object from rest to 100 km/sec in 25 seconds is 4 km/sec². Acceleration is a vector quantity that has both magnitude and direction. In this scenario, the acceleration is in the direction of the object’s motion and remains constant throughout the motion.

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