Mecánica y máquinas simples · AP Physics 1 Unit 1 (Kinematics)
Simulador de gráficas v-t y cinemática
Simulador de gráficas de velocidad-tiempo (v-t) y cinemática: persecución y aceleración
- Cálculo en cliente
- Sin registro
- Derivación en vivo
- Modo proyector
- Hoja de trabajo A4
Ventana de simulación 3D● 60 FPS
Variables de control del experimento
m/s
m/s²
s
Hz
Derivaciones y métricas en tiempo real
Velocidad final vt
--
Desplazamiento s
--
Velocidad media
--
Diferencia del intervalo Δx
--
Derivación de fórmulas en tiempo real
Fórmula básica:
--Sustitución de valores:
--Estado físico: --
Ejemplos clásicos y análisis de errores en exámenes
Worked Problem
Problema: A car moving at 15m/s brakes with deceleration 3m/s². Find displacement in 2s and 6s.
Derivación paso a paso:
- 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.
Derivación paso a paso:
- Difference Δx = 0.8cm = 0.008m. Acceleration a = Δx / t² = 0.008 / 0.01 = 0.8 m/s².
Hoja de indagación en clase y tareas
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.
Preguntas frecuentes y errores conceptuales
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.