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

Q. 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

Join BYJU'S Learning Program

The x coordinates of a particle at any time t are given by x=7t+4t2 where x is in m and t in s. The acceleration of the particle at 5 s is

The correct option is B 8 m/s2To get acceleration along x−axis we need to differentiate x(t) twice x(t)=7t+4t2 ⇒ax=d2xdt2=8 m/s2

The $x$ coordinates of a particle at any time $t$ are given by $x = 7 t + 4 t^{2}$ where $x$ is in $m$ and $t$ in $s$ . The acceleration of the particle at $5 s$ is

The correct option is B $8 {m/s}^{2}$
To get acceleration along $x -$ axis we need to differentiate $x (t)$ twice
$x (t) = 7 t + 4 t^{2}$
$\Rightarrow a_{x} = \frac{d^{2} x}{d t^{2}} = 8 {m/s}^{2}$