A) \[{{t}^{3}}\]
B) \[\frac{{{t}^{3}}}{2}\]
C) \[\frac{{{t}^{3}}}{3}\]
D) \[\frac{{{t}^{3}}}{4}\]
E) \[\frac{{{t}^{2}}}{2}\]
Correct Answer: B
Solution :
According to question, \[v\propto {{t}^{3}}\] \[\Rightarrow \] \[v=k{{t}^{3}}\] When \[t=2\text{ }s,\text{ }v=4\text{ }m/s\] \[\therefore \] \[4=k\,8\] \[\Rightarrow \] \[k=\frac{1}{2}\] So, \[v=\frac{{{t}^{3}}}{2}\]
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