A) \[1.66 m/{{s}^{2}}\]
B) \[0.66 m/{{s}^{2}}\]
C) \[0.50 m/{{s}^{2}}\]
D) None of these
Correct Answer: B
Solution :
If u be the initial velocity and a be acceleration of bike then \[1000 =\,\,u \times \,\,30 + \frac{1}{2} \times a \times 3{{0}^{2}}\] \[\Rightarrow \,\,~\,\,\,\,\,\,\,~100 =\,\,3\,u+45 a\] and \[2000 =u \times 50+\frac{1}{2}\times \,\,a \times 5{{0}^{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,200=5u+125a\] On solving we have \[\operatorname{a} = \frac{2}{3} m/{{s}^{2}}= 0.66 m/{{s}^{2}}\]
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