1
KCET 2025
MCQ (Single Correct Answer)
+1
-0
Two stones begin to fall from rest from the same height, with the second stone starting to fall ' $\Delta \mathrm{t}$ ' seconds after the first falls from rest. The distance of separation between the two stones becomes ' H ', ' $\mathrm{t}_0$ ' seconds after the first stone starts its motion. Then $\mathrm{t}_0$ is equal to
A
$\frac{\mathrm{H}}{\Delta \mathrm{t}}+\frac{\Delta \mathrm{t}}{2 \mathrm{~g}}$
B
$\frac{\mathrm{H}}{\mathrm{g} \Delta \mathrm{t}}-\frac{\Delta \mathrm{t}}{2}$
C
$\frac{\mathrm{H}}{\mathrm{g} \Delta \mathrm{t}}+\frac{\Delta \mathrm{t}}{2}$
D
$\frac{\mathrm{H}}{\mathrm{g} \Delta \mathrm{t}}$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0
In the projectile motion of a particle on a level ground, which of the following remains constant with reference to time and position?
A
Average velocity between any two points on the path
B
Horizontal component of velocity
C
Angle between the instantaneous velocity with the horizontal
D
Vertical component of the velocity of the projectile
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

A particle is in uniform circular motion. The equation of its trajectory is given by $(x-2)^2+y^2=25$, where x and y are in meter. The speed of the particle is $2 \mathrm{~ms}^{-1}$, when the particle attains the lowest ' y ' co-ordinate, the acceleration of the particle is (in $\mathrm{ms}^{-2}$ )

A
$0.4 \hat{\mathrm{j}}$
B
$0.8 \hat{\mathrm{i}}$
C
$0.8 \hat{\mathrm{j}}$
D
$0.4 \hat{\mathrm{i}}$
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