1
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Ship A is sailing towards north-east with velocity $$\mathop v\limits^ \to = 30\mathop i\limits^ \wedge + 50\mathop j\limits^ \wedge$$ km/hr where $$\mathop i\limits^ \wedge$$ points east and $$\mathop j\limits^ \wedge$$ , north. Ship B is at a distance of 80 km east and 150 km north of Ship A and is sailing towards west at 10 km/hr. A will be at minimum distance from B in :
A
2.2 hrs
B
4.2 hrs
C
2.6 hrs
D
3.2 hrs
2
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60o with ground level. But he finds the aeroplane right vertically above his position. If v is the speed of sound, speed of the plane is :
A
$${{\sqrt 3 } \over 2}$$v
B
$${{2v} \over {\sqrt 3 }}$$
C
v
D
$${v \over 2}$$
3
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when : (i) they are moving in the same direction , and (ii) in the opposite direction is :
A
$${{25} \over {11}}$$
B
$${3 \over 2}$$
C
$${{11} \over 5}$$
D
$${5 \over 2}$$
4
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
A particle moves from the point $$\left( {2.0\widehat i + 4.0\widehat j} \right)$$ m, at t = 0, with an initial velocity $$\left( {5.0\widehat i + 4.0\widehat j} \right)$$ ms$$-$$1. It is acted upon by a constant force which produces a constant acceleration $$\left( {4.0\widehat i + 4.0\widehat j} \right)$$ ms$$-$$2. What is the distance of the particle from the origin at time 2 s?
A
15 m
B
$$20\sqrt 2$$ m
C
$$10\sqrt 2$$ m
D
5 m
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