1
KCET 2026
MCQ (Single Correct Answer)
+1
-0
A car covers the first half of the distance between two places at $40$ km/h and another half at $50$ km/h. The average speed of the car is
A
$45.00$ km/h
B
$44.44$ km/h
C
$43.14$ km/h
D
$42.04$ km/h
2
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
$\frac{\mathrm{H}}{\mathrm{g} \Delta \mathrm{t}}$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

A body is moving along a straight line with initial velocity $$v_0$$. Its acceleration $$a$$ is constant. After $$t$$ seconds, its velocity becomes $$v$$. The average velocity of the body over the given time interval is

A
$$\bar{v}=\frac{v^2-v_0^2}{a t}$$
B
$$\bar{v}=\frac{v^2+v_0^2}{2 a t}$$
C
$$\bar{v}=\frac{v^2+v_0^2}{a t}$$
D
$$\bar{v}=\frac{v^2-v_0^2}{2 a t}$$
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The displacement $$x$$ (in $$\mathrm{m}$$) of a particle of mass $$m$$ (in $$\mathrm{kg}$$) moving in one dimension under the action of a force, is related to time $$t$$ (in sec) by $$t=\sqrt{x}+3$$. The displacement of the particle when its velocity is zero, will be

A
zero
B
6 m
C
2 m
D
4 m

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