Motion in One Dimension in Physics
Everything below describes an object moving along a single straight line, so direction is carried by the sign of a number rather than by an arrow, and every quantity is a signed scalar. The blocks follow the topic's own build-up, from average and instantaneous velocity, through the constant-velocity and constant-acceleration models, to freely falling objects and the calculus those equations come from.
Distance covered at a steady speed
Given
- (m/s)
- (s)
Time taken to cover a distance at a steady speed
Given
- (m)
- (m/s)
Average speed over a journey
Given
- (m)
- (s)
Average velocity from the displacement
Given
- (m)
- (s)
Average velocity over two equal time intervals
Given
- (m/s)
- (m/s)
Average velocity over two equal distances
Given
- (m/s)
- (m/s)
Position under the constant-velocity model
Given
- (m)
- (m/s)
- (s)
Instantaneous velocity
Given
- (s)
Instantaneous acceleration
Given
- (s)
Final velocity from the acceleration and the time
Given
- (m/s)
- (m/s²)
- (s)
Initial velocity from the acceleration and the time
Given
- (m/s)
- (m/s²)
- (s)
Acceleration from the two velocities and the time
Given
- (m/s)
- (m/s)
- (s)
Time for a given change in velocity
Given
- (m/s)
- (m/s)
- (m/s²)
Displacement from the initial velocity and the acceleration
Given
- (m/s)
- (m/s²)
- (s)
Initial velocity from the displacement and the acceleration
Given
- (m)
- (m/s²)
- (s)
Acceleration from the displacement and the initial velocity
Given
- (m)
- (m/s)
- (s)
Time from the displacement when the acceleration is known
Given
- (m)
- (m/s)
- (m/s²)
Final velocity from the displacement, without needing the time
Given
- (m/s)
- (m/s²)
- (m)
Initial velocity from the displacement, without needing the time
Given
- (m/s)
- (m/s²)
- (m)
Acceleration from the velocities and the displacement
Given
- (m/s)
- (m/s)
- (m)
Displacement from the two velocities and the acceleration
Given
- (m/s)
- (m/s)
- (m/s²)
Displacement from the mean of the two velocities
Given
- (m/s)
- (m/s)
- (s)
Time from the displacement and the two velocities
Given
- (m)
- (m/s)
- (m/s)
Initial velocity from the displacement and the time
Given
- (m)
- (m/s)
- (s)
Final velocity from the displacement and the time
Given
- (m)
- (m/s)
- (s)
Velocity after a time in free fall
Given
- (m/s)
- (s)
Constant used
Distance fallen after a time in free fall
Given
- (m/s)
- (s)
Constant used
Velocity after falling through a given distance
Given
- (m/s)
- (m)
Constant used
Speed gained in a fall from rest
Given
- (s)
Constant used
Distance fallen from rest
Given
- (s)
Constant used
Speed after falling a distance from rest
Given
- (m)
Constant used
Time to fall a given distance from rest
Given
- (m)
Constant used
Greatest height reached by an object thrown upward
Given
- (m/s)
Constant used
Time to reach the greatest height
Given
- (m/s)
Constant used
Time of flight back to the launch height
Given
- (m/s)
Constant used
Velocity from the acceleration, by integration
Given
- (m/s)
Displacement from the velocity, by integration
Given
Acceleration in terms of velocity and displacement
Given
- (m/s)
- (m)