Question

A particle is projected vertically upward from ground with some initial velocity such that its travels a distance $100m$ in first two seconds. The maximum height attained by the particle from ground is

• A. $135m$
• B. $160m$
• C. $175m$
• D. $180m$

Answer 1

The correct option is D $180m$

Let initial velocity is $u$.

Using $s=ut+\frac{1}{2}a{t}^2$ $\Rightarrow 100=2u-\frac{1}{2}\times 10\times 2^2$ $\Rightarrow u=60m/s$

Let height is $h$,

Using $v^2=u^2+2as$

$\Rightarrow 0={60}^2-2\times 10\times h$ $\Rightarrow h=180m$