JEE Main 2022 (Online) 25th June Evening Shift | Motion in a Straight Line Question 51 | Physics

Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by $${X_P}(t) = \alpha t + \beta {t^2}$$ and $${X_Q}(t) = ft - {t^2}$$. At what time, both the buses have same velocity?

$${{\alpha - f} \over {1 + \beta }}$$

$${{\alpha + f} \over {2(\beta - 1)}}$$

$${{\alpha + f} \over {2(1 + \beta )}}$$

$${{f - \alpha } \over {2(1 + \beta )}}$$

JEE Main 2021 (Online) 27th August Evening Shift

MCQ (Single Correct Answer)

-1

Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the position of second drop from the floor when the first drop strikes the floor.

4.18 m

2.94 m

2.45 m

7.35 m

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-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.

$${{\sqrt 2 - 1} \over {\sqrt 2 + 1}}$$

$${1 \over 3}$$

$${{\sqrt 3 - \sqrt 2 } \over {\sqrt 3 + \sqrt 2 }}$$

$${{\sqrt 3 - 1} \over {\sqrt 3 + 1}}$$

JEE Main 2021 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

-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)

2 mv³

2 mnv³

2nv³

2n²v³

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