Vertical Motion

Basic Concept
Transcript

Vertical Motion

Vertical motion is uniform acceleration, which the acceleration is gravitational acceleration. Since gravitational acceleration has downward direction, then $a = - g$ .

A. FORMULA

$\begin{array}{lll} h & = h_{o} + v_{o} . t - \frac{1}{2} . g . t^{2} & (1) \\ v_{t} & = v_{o} - g . t & (2) \\ v_{t}^{2} & = v_{o}^{2} - 2 . g . (h - h_{o}) & (3) \end{array}$

$h_{o}$ = initial position (m)
$h$ = final position (m)
$v_{o}$ = initial velocity (m/s)
$v_{t}$ = final velocity (m/s)
$g$ = acceleration (m/s²)
$t$ = time (s)

B. GRAPH

A stone is thrown upward from ground and then fall back to the ground. The graph is shown below:

Velocity vs time

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Velocity is a vector, so it has positive value when the stone moves upward and negative value when the stone moves downward.

C. Free Fall

When a stone moves free fall, it has no initial velocity ( $v_{o} = 0$ ).

Exercise

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Vertical Motion

A. FORMULA

B. GRAPH

C. Free Fall

Exercise

Kinematics