acceleration
Summary
Acceleration is the rate at which velocity changes with time, a vector measured in m/s². It is nonzero whenever speed or direction changes, so an object moving in a circle at constant speed is still accelerating.
Detail
Meaning: Acceleration is the rate at which velocity changes with time. Velocity is a vector, so an object accelerates when its speed changes, its direction changes, or both. By Newton's second law, the net force sets the acceleration, which points the same way as that force.
Equation: a = Δv/Δt = Fnet/m, where a is acceleration (m/s²), Δv is the change in velocity (m/s), Δt is the elapsed time (s), Fnet is the net force (N), and m is mass (kg).
On the MCAT: On a velocity-time graph, the slope is acceleration and the area under the curve is displacement. In projectile problems with no air resistance, horizontal acceleration is zero and vertical acceleration is g downward. In uniform circular motion, the centripetal acceleration v²/r points toward the center.
Common confusion: A negative acceleration does not mean slowing down; the sign only gives direction along the chosen axis. An object slows when its acceleration is opposite its velocity. Zero velocity also does not mean zero acceleration: a ball at the top of its flight still accelerates at g.
Sources
- University Physics
- Physics
- Fundamentals of Physics
Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.