1
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
$${v \over 2}$$
2
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
$${5 \over 2}$$
3
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
4
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ?

A
3 m
B
9 m
C
10 m
D
6 m
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