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MATHEMATICS
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integrate position dependent velocity : Use separation to integrate position dependent velocity and find travel time : Nonlinear v(x) demands dx/v(x) integration and a(x) via v dv/dx.

Compute time and acceleration by integrating position dependent velocity v(x)

Apply calculus carefully; watch units and evaluation limits. READ MORE...

solve 1D kinematics : Use calculus to solve 1D kinematics with variable acceleration : Work through a variable-acceleration setup requiring two integrations and a root.

Find arrival time by calculus to solve 1D kinematics accurately

Integrate a(t) to v(t) and x(t), then locate the first positive root. READ MORE...

iit jee optics : Optics Numericals for IIT JEE : Problems on lenses, mirrors, and refraction.

IIT JEE Optics Numericals

Excel in ray optics problems. READ MORE...

iit jee gravitation : Gravitation Numericals for IIT JEE : Numerical problems on gravitation and planetary motion.

IIT JEE Gravitation Numericals

Solve gravitation based numericals. READ MORE...

general aptitude : Loss and Selling Price Problem : Solve cost price and loss-related aptitude questions.

Selling Price Calculation with 20% Loss

Profit and loss questions improve real-world calculation ability. READ MORE...

iit jee particle motion : Charged Particle Motion Numericals for IIT JEE : Problems on particles in E and B fields.

IIT JEE Particle Motion Numericals

Strengthen particle dynamics in fields. READ MORE...

iit jee inductors : Inductor Numericals for IIT JEE : Numerical practice on energy stored in inductors.

IIT JEE Inductor Problems

Practice energy in magnetic field. READ MORE...

iit jee induction : Electromagnetic Induction Numericals for IIT JEE : Problems on induced emf and currents.

IIT JEE EMI Numericals

Master Faraday’s law numericals. READ MORE...