1
JEE Main 2021 (Online) 27th August Evening Shift
+4
-1
A player kicks a football with an initial speed of 25 ms$$-$$1 at an angle of 45$$^\circ$$ from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g = 10 ms$$-$$2)
A
hmax = 10 m

T = 2.5 s
B
hmax = 15.625 m

T = 3.54 s
C
hmax = 15.625 m

T = 1.77 s
D
hmax = 3.54 m

T = 0.125 s
2
JEE Main 2021 (Online) 26th August Evening Shift
+4
-1
A bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :
A
hyperbola
B
parabola in the direction of motion of plane
C
straight line vertically down the plane
D
parabola in a direction opposite to the motion of plane
3
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
A ball is thrown up with a certain velocity so that it reaches a height 'h'. Find the ratio of the two different times of the ball reaching $${h \over 3}$$ in both the directions.
A
$${{\sqrt 2 - 1} \over {\sqrt 2 + 1}}$$
B
$${1 \over 3}$$
C
$${{\sqrt 3 - \sqrt 2 } \over {\sqrt 3 + \sqrt 2 }}$$
D
$${{\sqrt 3 - 1} \over {\sqrt 3 + 1}}$$
4
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
The relation between time t and distance x for a moving body is given as t = mx2 + nx, where m and n are constants. The retardation of the motion is : (When v stands for velocity)
A
2 mv3
B
2 mnv3
C
2nv3
D
2n2v3
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