Question

If one object is dropped vertically downward and another object is thrown horizontally from the same height, then the ratio of vertical distance covered by both objects at any instant t is
(a) 1
(b) 2
(c) 4
(d) 0.5

Answer 1

Answer :- option (a)

Explanation :- case 1 :- if object is dropped from h height , then initial velocity of object equals zero.
use formula, S = ut + 1/2at²
∴ h = 0.t + 1/2 gt² ⇒t = √{2h/g}

Case 2 :- if object is thrown horizontally from the same height .
Let initial horizontal speed = u
because this is the example of horizontal projectile .
∴ intially , speed of body in vertical direction = 0
use formula S = ut + 1/2at² for vertical direction
Y = Uyt' + 1/2ayt'²
h = 0 + 1/2gt'² ⇒t' = √{2h/g}

Here it is clear that t = t'
Hence , option (a) is correct.

Answer 2

Answer:

Correct answer is (a) 1