Question

A particle has initial velocity $\overrightarrow{v}=3i+4j$, and a constant force $\overrightarrow{F}=-4i+3j$ acts on a particle. The path of the particle is

• A. Straight line
• B. Parabolic
• C. Circular
• D. Elliptical

Answer 1

The correct option is B Parabolic

Correct option is $\left(B\right)$ As we know:

$s=ut+1/2a{t}^2---\left(1\right)$

so, $V_x=3m/s$ and $a_x=\frac{-4}{m}$

$m=$ mass putting in eq. (1)

$x=3t-\frac{2}{m}{t}^2$

Similarly; $V_y=4m/s$ and $a_y=3/m$

$y=4t+\frac{3}{2m}{t}^2$

Hence here $x$ and $y$ are related as $y^2=cx;$

where $c$ is constant so, it represents parabola