1
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

A boat crosses a river from part $$A$$ to part $$B$$, which are just on the opposite side. The speed of the water. $$v_\omega$$ and the of boat is $$v_B$$ relative to still water. Assume $$v_B=\sqrt{2} v_\omega$$. What is the time taken by the boat, if it has to cross the river directly on the $$A B$$ line ($$D=$$ width of the river) ?

A
$$\frac{2 D}{\sqrt{3} v_B}$$
B
$$\frac{\sqrt{3} D}{2 v_B}$$
C
$$\frac{D}{\sqrt{2} v_B}$$
D
$$\frac{\sqrt{2} D}{v_B}$$
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

A projectile is projected with the velocity of $$(3\widehat i + 4\widehat j)$$ m/s. The horizontal range of the projectile will be

A
1.2 m
B
2.4 m
C
3.6 m
D
4.5 m
3
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

A man walks in a straight line for 5 min with a velocity of 45 m/s. What is the speed with which he has to move in order to comeback to its original position in 1.5 min?

A
90 m/s
B
150 m/s
C
135 m/s
D
115 m/s
4
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

A projectile is given an initial velocity of $$(\widehat i + \widehat j)$$ m/s, where, $$\widehat i$$ is along the ground and $$\widehat j$$ is along the vertical. If g = 10 m/s2, then the equation of its trajectory is

A
y = x + 5x2
B
y = x $$-$$ 5x2
C
y = x2 + 5x
D
y = x2 $$-$$ 5x
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