1
MHT CET 2023 12th May Evening Shift
+1
-0

A ball is projected vertically upwards from ground. It reaches a height '$$h$$' in time $$t_1$$, continues its motion and then takes a time $$t_2$$ to reach ground. The height $h$ in terms of $$g, t_1$$ and $$\mathrm{t}_2$$ is $$(\mathrm{g}=$$ acceleration due to gravity)

A
$$\frac{1}{2} \frac{\mathrm{gt}_1}{\mathrm{t}_2}$$
B
$$\frac{1}{2} g t_1 t_2$$
C
$$\mathrm{gt}_1 \mathrm{t}_2$$
D
$$2 \mathrm{~g} \mathrm{t}_1 \mathrm{t}_2$$
2
MHT CET 2023 11th May Evening Shift
+1
-0

Two cars A and B start from a point at the same time in a straight line and their positions are represented by $$\mathrm{R}_{\mathrm{A}}(\mathrm{t})=$$ at $$+\mathrm{bt}^2$$ and $$\mathrm{R}_{\mathrm{B}}(\mathrm{t})=x \mathrm{t}-\mathrm{t}^2$$. At what time do the cars have same velocity?

A
$$\frac{\mathrm{x}-\mathrm{a}}{2(\mathrm{~b}+1)}$$
B
$$\frac{\mathrm{x}+\mathrm{a}}{2(\mathrm{~b}-1)}$$
C
$$\frac{\mathrm{x}-\mathrm{a}}{(\mathrm{b}+1)}$$
D
$$\frac{\mathrm{x}+\mathrm{a}}{(\mathrm{b}-1)}$$
3
MHT CET 2023 11th May Morning Shift
+1
-0

A bullet is fired on a target with velocity '$$\mathrm{V}$$'. Its velocity decreases from '$$\mathrm{V}$$' to '$$\mathrm{V} / 2$$' when it penetrates $$30 \mathrm{~cm}$$ in a target. Through what thickness it will penetrate further in the target before coming to rest?

A
5 cm
B
8 cm
C
10 cm
D
20 cm
4
MHT CET 2023 10th May Evening Shift
+1
-0

Two trains, each $$30 \mathrm{~m}$$ long are travelling in opposite directions with velocities $$5 \mathrm{~m} / \mathrm{s}$$ and $$10 \mathrm{~m} / \mathrm{s}$$. They will cross after

A
4 s
B
3 s
C
2 s
D
1 s
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