Motion
Position, speed, velocity and acceleration, then falling and flying objects. The motion lab launches a ball on Earth, the Moon or Mars and works out the time, height and range as you watch.
About this course
Around 1603 Galileo wanted to study falling, but a dropped ball moves too fast to time with the clocks of his day. His answer, published in Two New Sciences in 1638, was to slow gravity down. He rolled a bronze ball down a long, smooth wooden groove at a gentle slope and, in his own account, let water run from a large vessel into a cup during each roll and weighed the water. In equal time intervals the ball covered distances in the ratio 1 : 3 : 5 : 7, so the total distance grew as 1, 4, 9, 16, the squares of the time. That is d = ½ a t², found with a plank and a cup of water.
The seven units start with position, distance and displacement: one lap of a 400 m track is 400 m of distance and zero displacement. Speed and velocity come next, and acceleration after that. Reading motion graphs treats a steeper line as faster. Free fall includes the Apollo 15 moment on 2 August 1971, when Commander David Scott released a 1.32 kg aluminium hammer and a 0.03 kg feather from about 1.6 m and they struck the dust together. Projectile motion follows, where a ball thrown at 20 m/s and 45° stays up 2.9 seconds and lands about 41 m away. The last unit adds air resistance, and a ball that would land 92 m away in a vacuum lands near 60 m in the model. The motion lab launches a ball on Earth, the Moon or Mars and works out time, height and range, with a grey line showing the path without air.
Before you start
The course uses simple formulas such as distance equals speed times time, and later squares and angles for projectiles. Comfort with Linear equations and reading a line on Graphs of lines will help, because the motion graphs unit treats slope as speed.
When you finish
You can separate distance from displacement and speed from velocity, find acceleration from a change in speed, and read a position-time or velocity-time graph, including the area under it. You can also work out how far a dropped stone falls in 2 seconds, the range of a ball thrown at 45°, and why the hammer and feather landed together on the Moon.
- 1Position, distance and displacementRun one full lap of a 400 m track and you have covered 400 m of distance, yet your displacement is zero.
- 2Speed and velocityA car at 90 km/h covers 25 metres every second, about the length of two buses.
- 3AccelerationA car that goes from 0 to 100 km/h in 10 seconds gains about 2.8 m/s of speed every second.
- 4Reading motion graphsOn a position-time graph a flat line means standing still, and a steeper line means faster.
- 5Free fallIn 1971 an astronaut dropped a hammer and a feather on the Moon, and they hit the ground together.
- 6Projectile motionA ball thrown at 20 m/s and 45° stays in the air for 2.9 seconds and lands about 41 m away.
- 7Air resistance and terminal velocityThrown at 30 m/s and 45°, a ball would land 92 m away in a vacuum; with air pushing back, our model ball lands at about 60 m.
Sources for this course (12)
- OpenStax College Physics 2e, chapters 2 (Kinematics)
- 3.4 (Projectile motion)
- 5.2 (Drag forces) (openstax.org/books/college-physics-2e)
- NIST CODATA standard acceleration of gravity g_n = 9.80665 m/s² exact (physics.nist.gov/cgi-bin/cuu/Value?gn)
- NASA Moon Fact Sheet (surface gravity 1.62 m/s², nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html)
- NASA Mars Fact Sheet (3.69 m/s² equator, 3.73 m/s² pole, surface air density about 0.016 kg/m³, nssdc.gsfc.nasa.gov/planetary/factsheet/marsfact.html)
- NASA, The Apollo 15 Hammer-Feather Drop (science.nasa.gov/resource/the-apollo-15-hammer-feather-drop, quoting NASA SP-289)
- Galileo, Two New Sciences (1638)
- inclined-plane account via PBS LearningMedia/NOVA "Galileo's Inclined Plane"
- long-jump take-off angle about 21°: Linthorne, Guzman and Bridgett, Journal of Sports Sciences 23(7)
- 2005, and Linthorne, Biomechanics of the long jump
- OpenStax College Physics 2e 17.2 (sound 343 m/s at 20 °C).
Checked: 2026-10-17