A) \[4\text{ }m{{s}^{-2}}\]along \[\text{y-}\]direction
B) \[\text{3 }m{{s}^{-2}}\]along\[x\text{-}\]direction
C) \[4\text{ }m{{s}^{-2}}\]along\[x\text{-}\]direction
D) \[\text{2 }m{{s}^{-2}}\]along\[\text{z-}\]direction
E) \[\text{3 }m{{s}^{-2}}\]along\[\text{z-}\]direction
Correct Answer: C
Solution :
Distance, \[\overrightarrow{\mathbf{r}}=2{{t}^{2}}\mathbf{\hat{i}}+3t\mathbf{\hat{j}}+4\mathbf{\hat{k}}\] Velocity, \[\overrightarrow{\mathbf{v}}=\frac{\overrightarrow{\mathbf{dr}}}{dt}=4t\mathbf{\hat{i}}+3\mathbf{\hat{j}}\] Acceleration, \[a=\frac{dv}{dt}=4\mathbf{\hat{i}}\] \[=4\text{ }m/{{s}^{2}}\]in the\[x-\]direction.
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