1D Kinematics: Exam 1

Scalar

A number that’s positive, negative or 0

• Defines things like speed or time

Magnitude

Distance or positive quantity

Distance

Total length traveled, constantly increasing

Vector

Quantity with magnitude and direction

Displacement

change in position

Position

measured relative to a coordinate

Velocity

Speed and direction of an object

Instant velocity

Velocity at one instance of time

Constant velocity

linear change in position, no change in velocity

Average velocity

change in position/total time

Acceleration

change in speed

Constant Acceleration

Acceleration at any time

Velocity as a function of time

v = v_o + at

• Known variables:

  • og velocity + final velocity

  • acceleration

  • time

Velocity as a function of position

v² = v_o² + 2a (x-x_o)

• Known variables:

  • og velocity + final velocity

  • acceleration

  • final and initial position

Position as a function of time w/ velocity

x = x_o+ 1/2(v_o + v)t

• Known variables:

  • og + final position

  • og + final velocity

  • time

Position as a function of time w/ acceleartion

x = x_o+ v_o + 1/2at²

• Known variables:

  • og + final position

  • og velocity

  • time

  • acceleration

What will the object do?

Speed up

What will the object do?

Speed up

What will the object do?

Slow down

What will the object do?

Slow down

What is the slope of a position vs time graph (x vs t)

Velocity

What is the slope of a velocity vs time graph (v vs t)

Acceleration

What is the area underneath the slope of a velocity time graph represent?velocity-time

Displacement of the object

Instant velocity equation

V = lim_{x → 0} = ∆x/∆t

Constant velocity equation

x_f = x_i + V_AV (∆t)

Average velocity equation

V_AV = ∆x/∆t

V_AV = 1/2 ( V_x - v_o)

V_x - v_o = at

What is the gravity constant?

9.81