CN Aula1

❯◆■❱❊❘❙■❉❆❉❊ ❋❊❉❊❘❆▲ ❘❯❘❆▲ ❉❖ ❙❊▼■✲➪❘■❉❖ ✲ ❯❋❊❘❙❆
❉✐s❝✐♣❧✐♥❛✿ ❈á❧❝✉❧♦ ◆✉♠ér✐❝♦
Pr♦❢❡ss♦r❡s✿ Pr♦❢✳ ❉r✳ ❖❞❛❝✐r ❆❧♠❡✐❞❛ ◆❡✈❡s ❡ Pr♦❢a ✳ ▼❛✳ ❆♥❣é❧✐❝❛ ❞❡ ❋r❡✐t❛s ❆❧✈❡s
❈✉rs♦✿ ❇❛❝❤❛r❡❧❛❞♦ ❡♠ ❈✐ê♥❝✐❛ ❡ ❚❡❝♥♦❧♦❣✐❛

✶

◆♦çã♦ ❞❡ ❊rr♦s

✶✳✶

■♥tr♦❞✉çã♦

❆ ♦❜t❡♥çã♦ ❞❡ ♠❛ s♦❧✉çã♦ ♥✉♠ér✐❝❛ ♣❛r❛ ✉♠ ♣r♦❜❧❡♠❛ ❢ís✐❝♦ ♣♦r ♠❡✐♦ ❞❛ ❛♣❧✐❝❛çã♦ ❞❡ ♠ét♦❞♦s
♥✉♠ér✐❝♦s ♥❡♠ s❡♠♣r❡ ❢♦r♥❡❝❡ ✈❛❧♦r❡s q✉❡ s❡ ❡♥❝❛✐①❛♠ ❞❡♥tr♦ ❞❡ ❧✐♠✐t❡s r❛③♦á✈❡✐s✳ ❊st❛ ❞✐❢❡r❡♥ç❛
❡♥tr❡ ✉♠ ✈❛❧♦r ♥✉♠ér✐❝♦ ❡ ♦ ✈❛❧♦r ❞❛ r❡❛❧ ❞❡ ♠❡❞✐çã♦ é ❝❤❛♠❛❞❛ ❡rr♦ ❡ é ✐♥❡r❡♥t❡ ❛♦ ♣r♦❝❡ss♦✱ ♠✉✐t❛s
✈❡③❡s ♥ã♦ ♣♦❞❡♥❞♦ s❡r ❡✈✐t❛❞♦✳

✲ Pr♦❝❡ss♦ ❞❡ r❡s♦❧✉çã♦ ❞❡ ✉♠ ♣r♦❜❧❡♠❛ ❢ís✐❝♦✱ ♣♦r ♠❡✐♦ ❞❛ ❛♣❧✐❝❛çã♦ ❞❡ ♠ét♦❞♦s
♥✉♠ér✐❝♦s
❆❜❛✐①♦ ✉♠ ❡sq✉❡♠❛ ❞❡ r❡s♦❧✉çã♦ q✉❡ ♠♦str❛ ♦s ♣❛ss♦s ♣❛r❛ ❛ r❡s♦❧✉çç❛♦ ❞❡ ✉♠ ♣r♦❜❧❡♠❛ ❢ís✐❝♦✳

❉❡ ❢♦r♠❛ s✐♠♣❧✐✜❝❛❞❛✱ t❡♠♦s✿

• ▼♦❞❡❧❛❣❡♠✿

✕ ❋❛s❡ ❞❡ ♦❜t❡♥çã♦ ❞❡ ✉♠ ♠♦❞❡❧♦ ♠❛t❡♠át✐❝♦ q✉❡ ❞❡s❝r❡✈❡ ♦ ❝♦♠♣♦rt❛♠❡♥t♦ ❞♦ s✐st❡♠❛
❢ís✐❝♦ ❡♠ q✉❡stã♦✳
• ❘❡s♦❧✉çã♦✿

✕ ❋❛s❡ ❞❡ ♦❜t❡♥çã♦ ❞❛ s♦❧✉çã♦ ❞♦ ♠♦❞❡❧♦ ♠❛t❡♠át✐❝♦ ❛tr❛✈és ❞❛ ❛♣❧✐❝❛çã♦ ❞❡ ♠ét♦❞♦s
♥✉♠ér✐❝♦s✳
✶

✶✳✷

❊rr♦s ♥❛ ❢❛s❡ ❞❡ ♠♦❞❡❧❛❣❡♠

❊①❡♠♣❧♦ ✶✿
P❛r❛ ♦ ❡st✉❞♦ ❞♦ ♠♦✈✐♠❡♥t♦ ❞❡ ✉♠ ❝♦r♣♦ s✉❥❡✐t♦ ❛ ✉♠❛ ❛❝❡❧❡r❛çã♦ ❝♦♥st❛♥t❡ t❡♠✲s❡ ❛ s❡❣✉✐♥t❡
❡q✉❛çã♦✿
1 d = d0 + v0 t + at2
2

♦♥❞❡✱

✭✶✮

d ✲ ❞✐stâ♥❝✐❛ ♣❡r❝♦rr✐❞❛❀ d0 ✲ ❞✐stâ♥❝✐❛ ✐♥✐❝✐❛❧❀ v0 ✲ ✈❡❧♦❝✐❞❛❞❡ ✐♥✐❝✐❛❧❀ t ✲ t❡♠♣♦❀ a ✲ ❛❝❡❧❡r❛çã♦✳

❙✉♣♦♥❞♦✲s❡ q✉❡ ✉♠ ❡♥❣❡♥❤❡✐r♦ q✉❡✐r❛ ❞❡t❡r♠✐♥❛r ❛ ❛❧t✉r❛ ❞❡ ✉♠ ❡❞í✜❝✐♦ ❡ q✉❡ ♣❛r❛ ✐ss♦ ❞✐s♣♦♥❤❛
❛♣❡♥❛s ❞❡ ✉♠❛ ❜♦❧✐♥❤❛ ❞❡ ♠❡t❛✱ ✉♠ ❝r♦♥ô♠❡tr♦ ❡ ❛ ❢ór♠✉❧❛ ❛❝✐♠❛✱ ❡❧❡ s♦❜❡ ❛♦ t♦♣♦ ❞♦ ❡❞✐❢í❝✐♦ ❡
♠❡❞❡ ♦ t❡♠♣♦ q✉❡ ❛ ❜♦❧✐♥❤❛ ❣❛st❛ ♣❛r❛ t♦❝❛r ♦ s♦❧♦✱ ♥❡st❡ ❝❛s♦✱ ✸ s❡❣✉♥❞♦s✳ ▲❡✈❛♥❞♦ ❡st❡ ✈❛❧♦r à
❡q✉❛çã♦ ✶✱ ♦❜té♠✲s❡ d=0+0·3+ 1
· 9, 8 · 32 ⇒ d = 44, 1m
2

P❡r❣✉♥t❛✲s❡✿ ❊st❡ r❡s✉❧t❛❞♦ é ❝♦♥✜á✈❡❧❄
❙✉♣♦♥❞♦ q✉❡ ♦ t❡♠♣♦ r❡❛❧ s❡❥❛ ❞❡ ✸✱✺ s❡❣✉♥❞♦s✱ ♦✉ s❡❥❛✱ ✵✱✺ s❡❣✉♥❞♦ ❛ ♠❛✐s✱ ❛ ❛❧t✉r❛ ❞♦ ❡❞✐❢í❝♦
♣❛ss❛ ♣❛r❛ ✻✵♠✦
❈♦♠ ❡st❡ ❡①❡♠♣❧♦ ♣♦❞❡✲s❡ ♥♦t❛r ❛ ❣r❛♥❞❡ ✐♥✢✉ê♥❝✐❛ ❞♦ ♠♦❞❡❧♦ ♠❛t❡♠át✐❝♦ ❡ ❛ ♣r❡❝✐sã♦ q✉❡ ♦s
❞❛❞♦s ♦❜t✐❞♦s ❡①❡r❝❡♠ s♦❜r❡ ❛ ❝♦♥✜❛❜✐❧✐❞❛❞❡ ❞❛ s♦❧✉ç❛♦ ❡♥❝♦♥tr❛❞❛✳
✶✳✸

❊rr♦s ♥❛ ❢❛s❡ ❞❡ r❡s♦❧✉çã♦

❆ ❛♥á❧✐s❡ ❞♦ ❡rr♦