JEE Main 2021 (Online) 26th February Evening Shift | Motion Question 120 | Physics

The trajectory of a projectile in a vertical plane is y = $$\alpha$$x $$-$$ $$\beta$$x², where $$\alpha$$ and $$\beta$$ are constants and x & y are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of projection $$\theta$$ and the maximum height attained H are respectively given by :

$${\tan ^{ - 1}}\alpha ,{{{\alpha ^2}} \over {4\beta }}$$

$${\tan ^{ - 1}}\alpha ,{{4{\alpha ^2}} \over \beta }$$

$${\tan ^{ - 1}}\left( {{\beta \over \alpha }} \right),{{{\alpha ^2}} \over \beta }$$

$${\tan ^{ - 1}}\beta ,{{{\alpha ^2}} \over {2\beta }}$$

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

-1

A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :

50 m

25 m

45 m

35 m

JEE Main 2021 (Online) 25th February Morning Shift

MCQ (Single Correct Answer)

-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 :

$${{u + v} \over 2}$$

$$\sqrt {{{{v^2} - {u^2}} \over 2}} $$

$${{v - u} \over 2}$$

$$\sqrt {{{{v^2} + {u^2}} \over 2}} $$

JEE Main 2021 (Online) 24th February Morning Shift

MCQ (Single Correct Answer)

-1

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?

JEE Main 2021 (Online) 24th February Morning Shift Physics - Motion Question 123 English