Question

A particle (A) is dropped from a height and another particle (B) is projected in horizontal direction with speed of 5 m/s from the same height then correct statement is :

• A. Particle (A) will reach at ground first with respect to particle (B)
• B. Particle (B) will reach at ground first with respect to particle (A)
• C. Both particles will reach at ground simultaneously
• D. Both particles will reach at ground with same speed

Answer 1

Answer: (C)

Both particles will reach at ground simultaneously

Answer 2

The correct option is (C): Both particles will reach at ground simultaneously
For particle (A)
h = $\frac{1}{2}gt^2$
tA = $\sqrt{\frac{2h}{g}}$

For particle (B) In the vertical direction
Use s = ut + $\frac{1}{2}at^2$
$\Rightarrow$ h = $\frac{1}{2}gt_B^2$
\Rightarrow$$t_B =$\sqrt{\frac{2h}{g}}$