Which of the following graphs gives the equation $\mathrm{x}=\mathrm{v}_{\mathrm{o}} \mathrm{t}+\frac{1}{2} \mathrm{at}^{2}$

Question

Aicharya · Accepted Answer

given $\mathrm{x}=\mathrm{V}_{0} \mathrm{t}+\frac{1}{2} \mathrm{at}^{2}$
$\frac{\mathrm{d} \mathrm{x}}{\mathrm{dt}}=\mathrm{V}_{0}+\frac{1}{2} \times \mathrm{a} \times 2 \mathrm{t}=\mathrm{V}_{0}+\mathrm{at}$
$\Rightarrow \mathrm{V}=\mathrm{V}_{0}+\mathrm{at}$
so, option
(c) represents the correct graph. .

Which of the following graphs gives the equation $\mathrm{x}=\mathrm{v}_{\mathrm{o}} \mathrm{t}+\frac{1}{2}…

Solution