1
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
If the velocity of a body related to displacement x is given by $$\upsilon = \sqrt {5000 + 24x}$$ m/s, then the acceleration of the body is .................... m/s2.
2
JEE Main 2021 (Online) 26th August Morning Shift
Numerical
+4
-1
Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3s with the same initial velocity of 35 m/s, then these balls collide at a height of ............... m. (Take g = 10 m/s2)
3
JEE Main 2021 (Online) 27th July Evening Shift
Numerical
+4
-1
A swimmer wants to cross a river from point A to point B. Line AB makes an angle of 30$$^\circ$$ with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle $$\theta$$ with the line AB should be _________$$^\circ$$, so that the swimmer reaches point B.

4
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Three particles P, Q and R are moving along the vectors $$\overrightarrow A = \widehat i + \widehat j$$, $$\overrightarrow B = \widehat j + \widehat k$$ and $$\overrightarrow C = - \widehat i + \widehat j$$ respectively. They strike on a point and start to move in different directions. Now particle P is moving normal to the plane which contains vector $$\overrightarrow A$$ and $$\overrightarrow B$$. Similarly particle Q is moving normal to the plane which contains vector $$\overrightarrow A$$ and $$\overrightarrow C$$. The angle between the direction of motion of P and Q is $${\cos ^{ - 1}}\left( {{1 \over {\sqrt x }}} \right)$$. Then the value of x is _______________.