A particle moves along Y-axis is such a way that its $y$-coordinate varies with time $t$ according t

Question

A particle moves along Y-axis is such a way that its $y$-coordinate varies with time $t$ according to the relation $\mathrm{y}=3+5 \mathrm{t}+7 \mathrm{t}^{2}$. The initial velocity and acceleration of the particle are respectively\

Professor PC Thomas Classes · Answer

$\mathrm{y}=3+5 \mathrm{t}+7 \mathrm{t}^{2} 	herefore \frac{\mathrm{dy}}{\mathrm{dt}}=5+14 \mathrm{t}$ At $\mathrm{t}=0, \frac{\mathrm{dy}}{\mathrm{dt}}=5 \mathrm{~m} / \mathrm{s}$\ Again, $\frac{\mathrm{d}^{2} \mathrm{x}}{\mathrm{dt}^{2}}=14 \quad 	herefore$ Acceleration\ $=14 \mathrm{~m} / \mathrm{s}^{2}$\