Ethan WrightWhen Argentina and Spain kicked off the FIFA World Cup 2026 final on July 19, 2026, one name was missing from the Argentine starting eleven: Leandro Paredes. Coach Lionel Scaloni benched the 31-year-old midfielder — not through injury, but to favour a more mobile centre against Spain's possession game, according to match previews from Bolavip and Yardbarker. Yet Paredes had started three straight knockout wins over Egypt, Switzerland and England, and his trademark long-range passes had already become one of the tournament's talking points. For Canadian students dreading physics homework this summer, those raking cross-field balls are also a perfect lesson in projectile motion.
Why a long pass is a physics problem
Every ball Paredes strikes across the pitch follows the same rules a textbook calls projectile motion. Once the ball leaves his boot, only two things act on it in an idealized model: its launch velocity and gravity pulling it down. NASA's Glenn Research Center puts it plainly in its educational Ballistic Flight Equations guide — if you ignore air resistance, the flight of any object "depends only on the initial velocity and the gravitational acceleration," regardless of the object's size, shape or mass.
That is the same simplification your Grade 11 or 12 physics course uses. The motion splits into two independent parts: a horizontal velocity that stays constant, and a vertical velocity that slows, stops at the peak, then speeds back up as the ball falls. Gravity, roughly 9.8 metres per second squared in Canada, only acts on the vertical part.
The equation behind the 40-metre pass
Suppose Paredes launches a switch of play at 25 metres per second, at an angle of 30 degrees above the ground. How far does the ball travel before it lands? The range equation ties it together:
R = v² × sin(2θ) ÷ g
Plug in the numbers: v² is 625, sin(60°) is about 0.87, and g is 9.8. That gives roughly 55 metres of horizontal range — the kind of sweeping diagonal that switches Argentina's attack from one flank to the other in a single touch.
Change the launch angle and the geography changes with it. The range is greatest at exactly 45 degrees, and — a fact that surprises many students — a ball hit at 30 degrees travels the same distance as one hit at 60 degrees, because sin(60°) and sin(120°) are equal. That symmetry is precisely the sort of insight a homework question is built to test, and it is far easier to remember when you picture a real pass rather than an abstract cannonball. The same trick powers other match-based problems, like our Argentina vs Switzerland match breakdown.
Turning the final into a study session
The knockout rounds gave students plenty of raw material. Paredes was, in the words of FIFA's own preview, "poised to step up" for Argentina, and across the 2026 Liga Profesional Apertura he logged 2 goals and 3 assists in 1,097 minutes with an average rating of 7.57. Each highlight-reel pass can be broken into a physics problem: measure the apparent launch angle, estimate the time the ball spends in the air, and work backwards to the launch speed.
Time of flight is the other equation worth knowing. For a ball landing at the same height it was struck, the airtime is:
t = 2 × v × sin(θ) ÷ g
At 25 metres per second and 30 degrees, that is about 2.6 seconds — long enough for a winger to time a run onto the ball. Pairing the range and time equations lets a student solve for the unknowns in most introductory homework sets — the same way probability turns a scoreline into a maths lesson, as we showed with France vs England at the 2026 World Cup.
Of course, a real football is not a perfect projectile. Air resistance, spin and the ball's seams curve its path, which is why elite players can bend a pass that a textbook says should fly straight. Acknowledging that gap between the model and the messy real world is itself good science — and a common follow-up question on exams and lab reports.
When to bring in an expert
Projectile motion is one of the first places students stumble, because it forces them to juggle two directions at once and to keep their angles and units straight. A single sign error or a degree-versus-radian slip can throw off an entire answer. That is where a qualified tutor earns their keep: not by handing over solutions, but by showing how to set up the two-component framework so a student can solve any variation on their own.
Parents and students across Canada increasingly turn to on-demand tutoring rather than waiting for a struggling grade to appear on a report card. A private tutor or homework-help specialist can walk through a worked pass like Paredes' step by step, connect the equations to something a teenager actually wants to watch, and build the confidence that carries into a test. If your child finds physics abstract, an expert who can turn a World Cup final into a lesson may be the difference between memorizing formulas and genuinely understanding them.
Whether or not Paredes came off the bench in Sunday's final, his passing range offers a lasting teaching tool. The next time a long ball splits a defence, grab a protractor, estimate the angle, and see if the numbers match the highlight. Physics, it turns out, is playing on the same pitch.
