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iit jee spring problems : Spring and Oscillation Numericals for IIT JEE : Practice calculation-based spring and oscillation problems.

IIT JEE Spring Numericals

Solve oscillation and elastic force numericals. READ MORE...

iit jee mechanics : Mechanics Numerical Problems for IIT JEE : Strengthen kinematics and dynamics with numerical questions.

IIT JEE Mechanics Numericals

Test skills in Newton’s laws and motion. READ MORE...

match vertical heights : Solve delayed launch to match vertical heights for two rising stones : Write y(t) for both with different start times; solve equality.

Find all meet instants that match vertical heights with gravity

Account for g=9.8 m/s² and the start-time offset. READ MORE...

plan multiphase travel : Constrain distance to plan multiphase travel with acceleration coasting braking : Choose coasting time so total displacement hits the target exactly.

Find the coasting interval to plan multiphase travel efficiently

Use three phases: accelerate, coast, brake to rest at a set distance. READ MORE...

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...

analyze relative motion : Set up piecewise kinematics to analyze relative motion of two cars : Compare positions using phased acceleration and constant-speed segments.

When do they meet? Equations to analyze relative motion precisely

Translate each car’s motion into position functions; solve intersection or show none. 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...