Kinematics 4 Question 5
5. Two stones are thrown up simultaneously from the edge of a cliff high with initial speed of and , respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first? (Assume stones do not rebound after hitting the ground and neglect air resistance, take )
(2015 Main) (a)
(c)
(b)
(d)
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Solution:
Let us first find, time of collision of two particles with ground in putting proper values in the equation
Solving, we get the position value of
Therefore, the first particle will strike the ground at
Similarly,
Solving this equation, we get positive value of
If
from 0 to
or
Similarly,
At
From
Therefore,