Question

The distances covered by a particle thrown in a vertical plane, in horizontal and vertical directions at any instant of time $t$ are $x=3t$ and $y=4t-4t^2$. The range of the particle is

• A. $3m$
• B. $4m$
• C. $2.4m$
• D. $5m$

Answer 1

The correct option is A $3m$

Range, $x=3t$
height, $y=4t-4t^2$
for time of flight T, $y=0\Rightarrow 4t-4t^2=0\Rightarrow t=1$
Range,$x=3t\Rightarrow x=3m$