Question:
A ball is dropped from a height. If it takes $0.200$ s to cross the last $6.00 \mathrm{~m}$ before hitting the ground, find the height from which it was dropped. Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$
Solution:
For last $6 \mathrm{~m}$,
$\mathrm{t}=0.2 \mathrm{sec} ; \mathrm{s}=6 \mathrm{~m} ; \mathrm{a}=\mathrm{g}$
$s=u t+\frac{1}{2} a t^{2}$
$6=\mathrm{u}(0.2)+\frac{\frac{1}{2}}{}(\mathrm{~g})(0.2)^{2}$
$\mathrm{u}=29 \mathrm{~m} / \mathrm{s}$
Before last $6 \mathrm{~m}$,
$v^{2}=u^{2}+2 a s$
$(29)^{2}=0^{2}+2(g) s$
$\mathrm{S}_{1}=42 \mathrm{~m}$
Total distance $=42+6=48 \mathrm{~m}$
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- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
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- Dual Nature of Radiation and Matter
- Atoms
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- Chemical Effects of Electric Current,
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