Question:

Let \(\overrightarrow r_P(t)=3t\hat i+4t²\hat j\) and \(\overrightarrow r_Q(t)=4t^2\hat i+3t\hat j\) represent the positions of particles P and respectively as function of time t. The relative speed of the two particles at the instant t = 1 sec will be [consider \(\overrightarrow r_P(t)\) and \(\overrightarrow r_Q(t)\) are in metres and t is in seconds]

  • 11√2 m/s
  • 5√2 m/s
  • 3√2 m/s
  • 1 m/s
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The Correct Option is B

Solution and Explanation

The correct option is (B): 5√2 m/s
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