Practice question
Question
A car moving at 25 m/s decelerates uniformly to rest over 62.5 m . What is the time taken to stop?
Explanation
Given:
A car moving at 25 m/s decelerates uniformly to rest over 62.5 m . What is the time taken to stop?
These values define the system as per NCERT data.
Formula:
Use v² = v_0² + 2 a x to find a : 0 = (25)² + 2 a (62.5) Rightarrow 0 = 625 + 125 a Rightarrow a = -5 m/s².
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Then, v = v_0 + a t : 0 = 25 - 5 t Rightarrow t = 5 s . The time taken is 5 s .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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