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

The Correct Option is C

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

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