Physics · MOTION IN A STRAIGHT LINE
हिन्दीRefer 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 \( t = 4\tau \)?
Correct answer · Option 2
\( 16 y_0 \)
Explanation
Position \( y = -\frac{1}{2}gt^2 \). For \( t = 4\tau \), \( y(4\tau) = -\frac{1}{2}g(4\tau)^2 = 16 (-\frac{1}{2}g\tau^2) = 16 y_0 \).