1
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0

The acceleration f $$\mathrm{ft} / \mathrm{sec}^2$$ of a particle after a time $$\mathrm{t}$$ sec starting from rest is given by $$\mathrm{f}=6-\sqrt{1.2 \mathrm{t}}$$. Then the maximum velocity $$\mathrm{v}$$ and time $$\mathrm{T}$$ to attend this velocity are

A
$$\mathrm{T}=20 \mathrm{~sec}$$
B
$$\mathrm{v}=60 \mathrm{~ft} / \mathrm{sec}$$
C
$$\mathrm{T}=30 \mathrm{~sec}$$
D
$$\mathrm{v}=40 \mathrm{~tt} / \mathrm{sec}$$
2
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0

A balloon starting from rest is ascending from ground with uniform acceleration of 4 ft/sec$$^2$$. At the end of 5 sec, a stone is dropped from it. If T be the time to reach the stone to the ground and H be the height of the balloon when the stone reaches the ground, then

A
T = 6 sec
B
H = 112.5 ft
C
T = 5/2 sec
D
225 ft
3
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0

If $$f(x) = 3\root 3 \of {{x^2}} - {x^2}$$, then

A
f has no extrema.
B
f is maximum at two points x = 1 and x = $$-$$1.
C
f is minimum at x = 0.
D
f has maximum at x = 1 only.
4
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0

From a balloon rising vertically with uniform velocity v ft/sec a piece of stone is let go. The height of the balloon above the ground when the stone reaches the ground after 4 sec is [g = 32 ft/sec2]

A
220 ft
B
240 ft
C
256 ft
D
260 ft
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