From a high tower at time t=0, one stone is dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance 's' between the two stones, before either hits the ground, plotted against time ' t ' will be as

Question

From a high tower at time t=0, one stone is dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance 's' between the two stones, before either hits the ground, plotted against time ' t ' will be as (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

s12=u12 t+(1/2) a12 t2 Now, u12=u1-u2=(+u)-(-u)=2 u a12=a1-a2=g-g=0 ⇒ S12=(2 u) t It must be a line of constant slope passing through the origin.

Q. From a high tower at time $t = 0$ , one stone is dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance 's' between the two stones, before either hits the ground, plotted against time ' $t$ ' will be as

$s_{12} = u_{12} t + \frac{1}{2} a_{12} t^{2}$
Now, $u_{12} = u_{1} - u_{2} = (+ u) - (- u) = 2 u$
$a_{12} = a_{1} - a_{2} = g - g = 0 \Rightarrow S_{12} = (2 u) t$
It must be a line of constant slope passing through the origin.

Q. From a high tower at time t=0, one stone is dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance 's' between the two stones, before either hits the ground, plotted against time ' t ' will be as

s12​=u12​t+21​a12​t2 Now, u12​=u1​−u2​=(+u)−(−u)=2u a12​=a1​−a2​=g−g=0⇒S12​=(2u)t It must be a line of constant slope passing through the origin.

Q. From a high tower at time $t = 0$ , one stone is dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance 's' between the two stones, before either hits the ground, plotted against time ' $t$ ' will be as

$s_{12} = u_{12} t + \frac{1}{2} a_{12} t^{2}$
Now, $u_{12} = u_{1} - u_{2} = (+ u) - (- u) = 2 u$
$a_{12} = a_{1} - a_{2} = g - g = 0 \Rightarrow S_{12} = (2 u) t$
It must be a line of constant slope passing through the origin.