Kinematics Solver

The Kinematics Solver is for motion with constant acceleration in one or two dimensions. Free fall. Objects thrown up or down. Cars braking or accelerating. Projectiles launched at an angle, with range, maximum height, time of flight, and velocity at impact. Relative motion in one dimension. Given the knowns, it selects the kinematic equation that connects them to the unknown, states the sign convention and the value of g it used, solves, and interprets the sign of the result. Multi-stage motion is split into intervals with the final state of one feeding the next. Graph questions, reading displacement from a velocity-time graph or acceleration from a slope, are handled by describing the graph's regions and computing the area or slope of each.

Describe the motion with every number and its unit: "a ball is thrown up at 15 m/s, how high does it go and when does it land", "a car going 25 m/s brakes at 4 m/s^2, stopping distance". Say whether to use g = 9.8 or 9.81 or 10 if the course specifies. A photo of the problem, with any diagram, works. Set Answer form to decimal for numeric answers or both if you want the symbolic expression first. For a two-object problem, such as a chase or a meeting, describe both motions and the solver writes an equation for each and solves for the common time or position. For a graph question, describe the segments or photograph the graph with the axis values readable.

Output: the answer with units first, then the knowns listed, the unknown identified, the equation selected with the reason, the substitution, and the arithmetic. Projectile problems separate the horizontal and vertical components and show each. A sign note explains any negative result. The working is shown so you can check it. For forces, energy, or anything beyond constant acceleration, use the Physics Solver. For a velocity function given as an expression, the Derivative and Integral Calculators handle the calculus route. A follow-up can rerun the problem in a different unit system, use a different value of g, or ask for the position-time and velocity-time descriptions of the motion. Every equation is written in symbols before numbers are substituted, so a unit slip is visible.