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Question Number 14219 by tawa tawa last updated on 29/May/17

Answered by ajfour last updated on 29/May/17

$$\overline{s}=4t^3\hat{i}-2t^2\hat{j}+3t\hat{k}..\left(i\right)$$$$\left(a\right)\overline{v}=\frac{d\overline{s}}{dt}=12t^2\hat{i}-4t\hat{j}+3\hat{k}...\left(ii\right)$$$$\left(b\right)speedatt=1s$$$$=\mid \overline{v}{\mid }_{t=1s}=\sqrt{144+16+9}=13$$$$\left(c\right)\overline{a}=\frac{d\overline{v}}{dt}=24t\hat{i}-4\hat{j}.....\left(iii\right)$$$$att=3s,\overline{a}=72\hat{i}-4\hat{j}$$$$\left(d\right)att=0,fromeqn\left(ii\right):$$$${\overline{v}}_0=3\hat{k}.$$

Commented by tawa tawa last updated on 29/May/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.\mathrm{i}\mathrm{really}\mathrm{appreciate}\mathrm{your}\mathrm{effort}.$$

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