The $x$ and $y$ coordinates of the particle at any time are $x = 5 t - 2 t^{2}$ and $y = 10 t$ respectively, where $x$ and $y$ are in meters and $t$ in seconds. The acceleration of the particle at $t = 2 s$ is

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The x and y coordinate of a particle at any time t are given by x=7t+4t2 and y=5t, where x and y are in meter and t in seconds. The acceleration of particle at t=5s is

The correct option is B 8m/s2x=7t+4t2dxdt=7+8t,an=a+dy=5tdydt=5d2ydx2=0ax=8ay=0anet=√82+02 =8m/s2

The $x$ and $y$ coordinate of a particle at any time t are given by $x = 7 t + 4 t^{2}$ and $y = 5 t$ , where $x$ and $y$ are in meter and $t$ in seconds. The acceleration of particle at $t = 5 s$ is

The correct option is B $8 m / s^{2}$
$x = 7 t + 4 t^{2}$

$\frac{d x}{d t} = 7 + 8 t, a_{n} = a + d$

$y = 5 t$

$\frac{d y}{d t} = 5$

$\frac{d^{2} y}{d x^{2}} = 0$

$a_{x} = 8$

$a_{y} = 0$

$a_{n e t} = \sqrt{8^{2} + 0^{2}}$

$= 8 m / s^{2}$