The x and y coordinates of the particle at an | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$\begin{array}{l}
\,\,\,\,\,\,\,x = 5t - 2{t^2},y = 10t\
\frac{{dx}}{{dt}} = 5 - 4t,\frac{{dy}}{{dt}} = 10\,\,\,\,\,\,	herefore {v_x} = 5 - 4t,{v_

Vedclass · Accepted Answer

$-4$

Vedclass · Answer

$\begin{array}{l}
\,\,\,\,\,\,\,x = 5t - 2{t^2},y = 10t\
\frac{{dx}}{{dt}} = 5 - 4t,\frac{{dy}}{{dt}} = 10\,\,\,\,\,\,	herefore {v_x} = 5 - 4t,{v_y} = 10\
\frac{{d{v_x}}}{{dt}} =  - 4,\frac{{d{v_y}}}{{dt}} = 0\,\,\,\,\,\,\,\,\,\,	herefore {a_x} =  - 4,{a_y} = 0\
Acceleration,\,\vec a = {a_x}\hat i + {a_y}\hat j = 4\hat i\
	herefore \,The\,acceleration\,of\,the\,particle\,at\,t = 2\,s\
is\, - 4\,m\,{s^{ - 2}}
\end{array}$

The $x$ and $y$ coordinates of the particle at any time are $x = 5t - 2t^2$ and $y = 10t$ respectively, where $x$ and $y$ are in metres and $t$ in seconds. The acceleration of the particle at $t = 2\, s$ is......$m/sec^2$

Similar Questions

If two forces of equal magnitudes act simultaneously on a body in the east and the north directions then

The position of a particle moving in the $xy-$ plane at any time $t$ is given by $x = (3t^2 -6t)\, metres$, $y = (t^2 -2t)\,metres$. Select the correct statement about the moving particle from the following

At a height $0.4\, m$ from the ground, the velocity of a projectile in vector form is $\vec v = \left( {6\hat i + 2\hat j} \right)\,m/{s}$. The angle of projection is ...... $^o$ $(g = 10\, m/s^2)$

A $NCC$ parade is going at a uniform speed of $9\,km / h$ under a mango tree on which a monkey is sitting at a height of $19.6\,m$. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is $...m$

(Given $g=9.8\,m / s ^{2}$ )

The figure shows a velocity-time graph of a particle moving along a straight line If the particle starts from the position $x_0=-15\,m$ , then its position at $t=2\,s$ will be ........ $m$