1
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is :
A
$${{u + v} \over 2}$$
B
$$\sqrt {{{{v^2} - {u^2}} \over 2}}$$
C
$${{v - u} \over 2}$$
D
$$\sqrt {{{{v^2} + {u^2}} \over 2}}$$
2
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1
If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?

A
B
C
D
3
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees that rain drops are coming at an angle 60° from the horizontal. On further increasing the speed of the car to (1 + $$\beta$$)v, this angle changes to 45o. The value of $$\beta$$ is close to :
A
0.50
B
0.73
C
0.37
D
0.41
4
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is :
A
12 m
B
11 m
C
$${{49} \over 4}$$ m
D
$${{37} \over 3}$$ m
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