WBJEE · Maths · Application of Derivatives
From a balloon rising vertically with uniform velocity \(\mathrm{ft} / \mathrm{sec}\) a piece of stone is let go. The height of the balloon above the ground when the stone reaches the ground after \(4 \mathrm{sec}\) is \(\left[\mathrm{g}=32 \mathrm{ft} / \mathrm{sec}^2\right]\)
- A \(220 \mathrm{ft}\)
- B \(240 \mathrm{ft}\)
- C \(256 \mathrm{ft}\)
- D \(260 \mathrm{ft}\)
Answer & Solution
Correct Answer
(C) \(256 \mathrm{ft}\)
Step-by-step Solution
Detailed explanation
When stone is let go, its velocity \(=-v\) (downwards) Let, it was at a height h. \(\therefore h=-v t+\frac{1}{2} gt^2\) \(\begin{aligned} &=-v \times 4+\frac{1}{2} \times 32 \times 4^2 \\ &=-4 v+256 \end{aligned}\) Balloon reaches \(4 \mathrm{vtt}\) in 4 seconds \(\therefore\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Reflection of the line \(\bar{a} z+a \bar{z}=0\) in the real axis is given byWBJEE 2023 Hard
- The value of \(\mathrm{n}\) for which \(\frac{\mathrm{x}^{\mathrm{n}+1}+\mathrm{y}^{\mathrm{n}+1}}{\mathrm{x}^{\mathrm{n}}+\mathrm{y}^{\mathrm{n}}}\) is the geometric mean of \(\mathrm{x}\) and \(\mathrm{y}\) isWBJEE 2010 Easy
- Let \(f\) be a non-negative function defined on \(\left[0, \frac{\pi}{2}\right]\). If \(\int_0^x\left(f^{\prime}(t)-\sin 2 t\right) d t=\int_x^0 f(t) \tan t d t, f(0)=1\), then \(\int_0^{\frac{\pi}{2}} f(x) d x\) isWBJEE 2023 Hard
- If the sum of the distances of a point from two perpendicular lines in a plane is 1 unit, then its locus isWBJEE 2022 Easy
- A chord \(A B\) is drawn from the point \(A(0,3)\) on
the circle \(x^{2}+4 x+(y-3)^{2}=0,\) and is extended to \(M\) such that \(A M=2 A B\). The locus
of \(M\) isWBJEE 2018 Hard - \(\mathrm{n}\) objects are distributed at random among \(\mathrm{n}\) persons. The number of ways in which this can be done so that at least one of them will not get any object isWBJEE 2023 Easy
More PYQs from WBJEE
- The number of zeros at the end of 100! isWBJEE 2022 Easy
- \(y=\int \cos \left\{2 \tan ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x\) is an equation of a family ofWBJEE 2019 Medium
- 2 moles of an ideal monoatomic gas is carried from a state \(\left(p_{0}, V_{0}\right)\) to state \(\left(2 p_{0}, 2 V_{0}\right)\) along a straight line path in a \(p-V\) diagram. The amount of heat absorbed by the gas in the process is given byWBJEE 2017 Medium
- The molar solubility (in mol \(\mathrm{L}^{-1}\) ) of a sparingly soluble salt \(M X_{4}\) is \({ }^{\prime} S\). The corresponding solubility product is \(K_{\mathrm{sp}} . S\) in terms of \('K_{\text {ip }}\)' s given by the relationWBJEE 2016 Hard
- Supose in a hypothetical world the angular momentum is quantized to be even integral multiples of \(\frac{\mathrm{h}}{2 \pi}\). The largest possible wavelength emitted by hydrogen atoms in visible range in a world according to Bohr's model will be, (Consider hc \(=1242 \mathrm{Mev}-\mathrm{fm}\) )WBJEE 2022 Medium
- Which of the following oxides is paramagnetic?WBJEE 2025 Medium