A) \[48\,\,cm/{{s}^{2}}\]
B) \[68\text{ }cm/{{s}^{2}}\]
C) \[58\text{ }cm/{{s}^{2}}\]
D) \[56\text{ }cm/{{s}^{2}}\]
Correct Answer: C
Solution :
We have, \[x=12{{t}^{3}}-7{{t}^{2}}+14t\,+2\] \[\frac{dx}{dt}=36\,{{t}^{2}}-14\,t+14\] Acceleration \[=\frac{{{d}^{2}}x}{d{{t}^{2}}}=72\,t-14\] \[{{\left( \frac{{{d}^{2}}x}{d{{t}^{2}}} \right)}_{t=1}}\,=72-14=58\,cm/{{s}^{2}}\]
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