JUPITER SCIENCE
Where Exploration Meets Excellence

KINEMATICS
Resources & Insights

The study of motion begins here, stripped of the forces that cause it. These articles analyze the pure geometry of displacement, velocity, and acceleration, mapping the precise trajectories of objects through space and time.

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 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...