1
JEE Main 2015 (Offline)
+4
-1
Two stones are thrown up simultaneously from the edge of a cliff $$240$$ $$m$$ high with initial speed of $$10$$ $$m/s$$ and $$40$$ $$m/s$$ 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 $$g = 10m/{s^2}$$)

(The figures are schematic and not drawn to scale)
A
B
C
D
2
JEE Main 2014 (Offline)
+4
-1
From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path. The relation between H, u and n is:
A
2gH = n2u2
B
gH = (n - 2)2u2
C
2gH = nu2(n - 2)
D
gH = (n - 2)u2
3
JEE Main 2013 (Offline)
+4
-1
A projectile is given an initial velocity of $$\left( {\widehat i + 2\widehat j} \right)$$ m/s, where $${\widehat i}$$ is along the ground and $${\widehat j}$$ is along the vertical. If g = 10 m/s2, the equation of its trajectory is:
A
y = x - 5x2
B
y = 2x - 5x2
C
4y = 2x - 5x2
D
4y = 2x - 25x2
4
AIEEE 2012
+4
-1
A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be
A
$$20\sqrt 2$$ m
B
10 m
C
$$10\sqrt 2$$ m
D
20 m
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