Mecânica e máquinas simples · AP Physics 1 Unit 1 (Kinematics)
Simulador de gráficos v-t e cinemática
Simulador de gráficos velocidade-tempo (v-t) e cinemática: ultrapassagem e aceleração
- No navegador
- Sem cadastro
- Dedução ao vivo
- Modo projetor
- Folha de exercícios A4
Janela de simulação 3D● 60 FPS
Variáveis de controle do experimento
m/s
m/s²
s
Hz
Deduções e métricas em tempo real
Velocidade final vt
--
Deslocamento s
--
Velocidade média
--
Diferença do intervalo Δx
--
Dedução de fórmulas em tempo real
Fórmula fundamental:
--Substituição de valores:
--Estado físico: --
Exemplos clássicos e armadilhas de exame
Worked Problem
Problema: A car moving at 15m/s brakes with deceleration 3m/s². Find displacement in 2s and 6s.
Derivação passo a passo:
- Stopping time t0 = 15/3 = 5s. In 2s: s = 15*2 - 0.5*3*4 = 24m. In 6s: car stopped at 5s, so s = 15²/(2*3) = 37.5m.
Worked Problem
Problema: Ticker timer with t=0.1s gives x1=2.0cm, x2=2.8cm, x3=3.6cm. Calculate acceleration.
Derivação passo a passo:
- Difference Δx = 0.8cm = 0.008m. Acceleration a = Δx / t² = 0.008 / 0.01 = 0.8 m/s².
Folha de investigação em aula e exercícios
Q1. Variant 1: In a v-t graph, what do horizontal lines, upward sloped lines, and t-axis intercepts mean?
Answer Key: Horizontal: uniform motion; upward slope: uniform acceleration; t-axis intercept: instantaneous velocity is zero.
Q2. Variant 2: An object covers 2m in 1st second, 4m in 2nd second, 6m in 3rd. Find v0 and a.
Answer Key: Δx = 2m = a(1²) => a = 2 m/s². From s1 = v0(1) + 0.5(2)(1) = 2 => v0 = 1 m/s.
Q3. Variant 3: Car A at 10m/s chases Car B at 4m/s initially 20m ahead. Car A decelerates at 1m/s². Does A catch B?
Answer Key: Velocities equalize at t = (10-4)/1 = 6s. Car A travels 42m; Car B travels 24m. Net gain = 18m < 20m, so A never catches B.
Perguntas frequentes e erros comuns
What is the most common confusion between x-t and v-t graphs?
x-t graph slope is velocity, horizontal means rest; v-t graph slope is acceleration, horizontal means uniform motion. Neither represents the spatial trajectory!
Why is car braking considered the classic kinematics pitfall?
Because real cars stop when velocity hits zero rather than reversing. Formulas must not be applied beyond the stopping moment.
What is the advantage of the successive difference method in ticker tape analysis?
It incorporates all measured segment displacements, effectively averaging out random measurement errors.
What is the critical criterion in catch-up problems?
The moment when velocities become equal. If separation remains positive at equal velocity, collision is avoided.