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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

Refer to the position-time curve for a freely falling object dropped from rest shown in Fig. 2.7(c). If the position coordinate coordinate at time \( t = \tau \) is \( y_0 = -\frac{1}{2}g\tau^2 \), what is the position coordinate \( y \) of the object at time \( t = 4\tau \)?

  1. \( 4 y_0 \)
  2. \( 16 y_0 \)
  3. \( 8 y_0 \)
  4. \( 25 y_0 \)

Correct answer · Option 2

\( 16 y_0 \)

Explanation

Position \( y = -\frac{1}{2}gt^2 \). For \( t = 4\tau \), \( y(4\tau) = -\frac{1}{2}g(4\tau)^2 = 16 (-\frac{1}{2}g\tau^2) = 16 y_0 \).
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