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WillTeachMaths

Thinking-first maths tools

A Level mechanics

Projectile motion is two simpler motions happening at once.

This prototype helps learners connect the visual path of a projectile with the mechanics underneath: resolving velocity, using gravity, and finding range, height and time of flight.

The aim is to make mechanics feel less like formula selection and more like modelling motion from first principles.

Mechanics lab

Change the launch and predict the path

A projectile is modelled by constant horizontal velocity and constant vertical acceleration due to gravity. Adjust the speed, angle and gravity to see how the trajectory changes.

u_xu_yTrajectory, assuming no air resistancehorizontal distance

u_x

15.56 m/s

u_y

15.56 m/s

Range

49.39 m

Max height

12.35 m

Joy in the process

The point is not just to finish. It is to notice, test and return.

These tools are invitations to explore. A good mistake, a surprising pattern or a question you cannot yet answer is part of the work, not a failure of it.

The challenge is deliberate: the site should support thinking, not remove the need for it.

Before changing a setting, pause and predict what you think will happen.
Change one thing at a time. What stayed the same, and what changed?
Try to create a surprising case, a broken case, or a beautiful pattern.
Ask what this connects to outside the page: maps, movement, nature, systems or decisions.
Reset, then try again with a new question in mind.

Future extensions

This can become a richer A Level mechanics lab.

Add target practice challenges where students choose speed and angle.
Add step-by-step SUVAT working for time of flight, height and range.
Add air resistance as a model limitation and extension.
Add exam-style prompts linking mechanics with parametric equations.