1
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
The instantaneous velocity of a particle moving in a straight line is given as $$V = \alpha t + \beta {t^2}$$, where $$\alpha$$ and $$\beta$$ are constants. The distance travelled by the particle between 1s and 2s is :
A
3$$\alpha$$ + 7$$\beta$$
B
$${3 \over 2}\alpha + {7 \over 3}\beta$$
C
$${\alpha \over 2} + {\beta \over 3}$$
D
$${3 \over 2}\alpha + {7 \over 2}\beta$$
2
JEE Main 2021 (Online) 25th July Morning Shift
+4
-1
Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g = 9.8 m/s2)
A
3 drops / 2 sconds
B
2 drops / second
C
1 drop / second
D
1 drop / 7 seconds
3
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1. If he remains stationary on a moving escalator then the escalator takes him up in time t2. The time taken by him to walk up on the moving escalator will be :
A
$${{{t_1}{t_2}} \over {{t_2} - {t_1}}}$$
B
$${{{t_1} + {t_2}} \over 2}$$
C
$${{{t_1}{t_2}} \over {{t_2} + {t_1}}}$$
D
$${t_2} - {t_1}$$
4
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
The velocity $$-$$ displacement graph of a particle is shown in the figure.

The acceleration $$-$$ displacement graph of the same particle is represented by :
A
B
C
D
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