यदि एक कार की गति 1 मिनट में 25 kmph से 40 kmph तक बढ़ जाती है, तो त्वरण ज्ञात कीजिए।

  1. 40 m/s2
  2. 25 m/s2
  3. 0.0695 m/s2
  4. 0.695 m/s2

Answer (Detailed Solution Below)

Option 3 : 0.0695 m/s2
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संकल्पना:

वेग के परिवर्तन की दर को त्वरण के रूप में जाना जाता है। इसकी इकाई m/s2 है। यह एक सदिश राशि है।

a = वेग में परिवर्तन/समय

गति के समीकरण:

  • v = u + at
  • v2 – u2 = 2as
  • \(s = ut + \frac{1}{2}a{t^2}\)

गणना:

\(u = 25\;kmph = 25 \times \frac{5}{{18}} = \frac{{125}}{{18}} = 6.94\;m/s\) 

\(v = 40\;kmph = 40 \times \frac{5}{{18}} = \frac{{200}}{{18}} = 11.11\;m/\;s\) 

t = 1 मिनट = 60 सेकेंड

\(a = \frac{{v - u}}{t} = \frac{{11.11 - 6.94}}{{60}} = 0.0695\;m/{s^2}\)
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