JentooPhysics 1

AP® Physics 1: Algebra-Based · Unit 1 · Topic 1.2

Free Fall

Free fall is motion under gravity alone, where every object speeds up at the same constant rate, g = 9.8 m/s2, no matter how heavy it is.

A dropped ball doesn't settle into a steady speed because gravity never stops pulling on it. Gravity gives every falling object a constant acceleration near Earth's surface, g = 9.8 m/s2, which means velocity increases by 9.8 m/s every second it falls. Acceleration being constant does not mean velocity is constant. As long as the force causing the acceleration keeps acting, and nothing cancels it, the speed keeps climbing.

Mass doesn't enter the picture. A bowling ball and a tennis ball released together hit the floor together because gravitational acceleration doesn't depend on mass: heavier objects feel a bigger pull of gravity, but that same mass also resists acceleration more, and the two effects cancel exactly. Both fall at g. The famous exception is air resistance, which pushes back harder on light, spread-out objects like a feather than on dense ones like a coin, making the feather lag. Strip the air away, as on the Moon, and a feather and a hammer fall together.

This topic is one dimensional kinematics applied to a single known acceleration, so the same three equations from position, velocity and acceleration graphs now take g in place of a general a. A ball tossed straight up decelerates at 9.8 m/s2 the entire time, slowing, stopping for an instant at the top, then speeding up downward, symmetric going up and coming down. That symmetry, and the moment of zero velocity at the peak, sets up projectile motion next, where this vertical story runs independently alongside horizontal motion at constant velocity.

Key terms

Free fall
Motion where gravity is the only force acting, so acceleration is constant at g.
g
The acceleration due to gravity near Earth's surface, 9.8 m/s2, directed downward.
Air resistance
A drag force from air that opposes motion and affects light or spread-out objects more than dense ones.
Symmetry of vertical motion
The time and speed going up to the peak match the time and speed coming back down, when air resistance is ignored.

Watch it explained

  1. Common mistakeWhy doesn't a bowling ball beat a tennis ball to the floor when they are released together?
  2. How it worksWalk me through what the velocity of a ball does from the throw to the catch when tossed straight up.
  3. Worked exampleFind how long a rock takes to fall 45 m from rest with air resistance ignored.
  4. Worked exampleFind the highest point reached by a ball thrown straight upward at 20 m/s.
  5. Going furtherWhat changes about free fall once air resistance is allowed back into the picture?

Check yourself

Your turn1 of 2
Find how long it takes an object to fall 73 m from rest, ignoring air resistance, in seconds. Use g = 9.8.

End of topic.