what is rest?
not changing position with respect to other objects
what is motion?
change in position in respect to another object with time
what is uniform motion?
travels constant distance at constant interval of time
what is variable motion?
does not travel a uniform distance at constant time intervals
what is the derivative used to find?
the slope of the curve
what is integration used to find?
the area under the curve
what is distance?
- actual path followed by an object
- scaler
- measured in m
what is displacement?
- the shortest distance travelled by the object
- vector
- measured in m
is it possible to have displacement greater than distance?
no, the smallest distance can be equal to displacement, but distance cannot be smaller than displacement
is it possible to have non-zero distance for zero displacement?
yes, if the start and final position are the same, a distance can be travelled while the displacement remains zero
- for example, vertical motion, going a lap around a track
what is the equation for speed?
- (distance/time)
- scaler and measured in m/s
what is the equation for velocity?
- v = (Δx/Δt) = (dx/dt)
- vector, measures in m/s
what is velocity?
the rate of change in displacement
what is acceleration?
the rate of change of velocity
what is instantaneous speed?
speed at a specific time
draw the position, velocity, and acceleration graphs for an object with a position given by the equation x = 2t +3
- position- linear
- velocity- horizontal line
- acceleration - zero
what is the equation for average speed?
(total distance) / Δt
what is the equation for average velocity?
- (x1 - x2)/(t2 - t1)
- Δx / Δt
what is the equation for instantaneous velocity (speed)?
- dx / dt
- (lim Δt approaches 0 of Δx/Δt)
what is instantaneous speed?
the magnitude of instantaneous velocity
what are the three equations of motion
- v= v0 + at
- x = v0t + (1/2)at^2
- v^2 = v0^2 + 2ax
what is the constant for acceleration due to gravity?
g = 9.81 m/s^2
