If an object is dropped from rest, what will be its velocity after 15 seconds? (g = 9.8 m/s2)

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RRB JE ECE 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. 143 m/s
  2. 149 m/s
  3. 145 m/s
  4. 147 m/s

Answer (Detailed Solution Below)

Option 4 : 147 m/s
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The correct answer is 147 m/s.

Key Points

  • When an object is dropped from rest, it starts with an initial velocity of 0 m/s.
  • The object will accelerate due to gravity, which is denoted by g = 9.8 m/s².
  • The formula to calculate the final velocity (v) after a certain time (t) when starting from rest is given by v = g * t.
  • In this case, the time (t) is given as 15 seconds.
  • Using the formula, the final velocity v = 9.8 m/s² * 15 s = 147 m/s.
  • Therefore, the velocity of the object after 15 seconds is 147 m/s.

 Additional Information

  • Important Points
    • Acceleration due to gravity (g) is a constant value and is approximately 9.8 m/s² near the surface of the Earth.
    • The initial velocity of an object dropped from rest is always 0 m/s.
    • The formula v = g * t is derived from the basic equations of motion.
    • This calculation assumes that there is no air resistance affecting the object's fall.
    • In real-world scenarios, air resistance can affect the velocity of falling objects, especially over long durations.
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