Physics - W.E.P. Question with Solution | TestHub

$\text{F}=-\frac{\mathrm{\partial }\text{U}}{\mathrm{\partial }x}\widehat{\text{i}}-\frac{\mathrm{\partial }\text{U}}{\mathrm{\partial }y}\widehat{\text{j}}=7\widehat{\text{i}}-\text{24}\widehat{\text{j}}$

$\therefore a_x=\frac{{\text{F}}_x}{m}=\frac{7}{5}={\text{1.4 m/s}}^2$

$a_y=\frac{{\text{F}}_y}{m}=-\frac{\text{24}}{5}$

$\; \; \; \; \; \; \; \; =4.8{\text{ m/s}}^2$along negative$\text{y}-\text{axis}$

^​$\therefore v_x=a_{x}t=\text{1.4}\times 2$

$=2.8\text{m/s}$along negative$\text{y}-\text{axis}$

$\text{and}{v}_y=\text{4.8}\times 2=\text{9.6 m/s}$

$\therefore v=\sqrt{v_x^2+v_y^2}=\text{10 m/s}$