Latihan Soal Menghitung Jarak/Perpindahan dari Grafik GLB, GLBB

Introduction

This tutorial focuses on calculating distance and displacement using graphs from constant speed (GLB) and accelerated motion (GLBB). Understanding these concepts is crucial for physics students and anyone interested in motion analysis. We will break down the steps to interpret the graphs effectively and perform the necessary calculations.

Step 1: Understanding Graphs of Motion

• Identify the Axes:

  • The horizontal axis (x-axis) typically represents time.
  • The vertical axis (y-axis) represents distance or displacement.

• Types of Graphs:

  • GLB (Gerak Lurus Beraturan): This graph shows a straight line indicating constant speed.
  • GLBB (Gerak Lurus Berubah Beraturan): This graph is curved, indicating accelerated motion.

Step 2: Analyzing the GLB Graph

• Identify the Slope:

  • The slope of a GLB graph represents speed.
  • Calculate the speed using the formula: [ \text{Speed} = \frac{\text{Change in Distance}}{\text{Change in Time}} ]

• Calculate Distance:

  • To find the total distance traveled, determine the length of the line on the graph between two time points.

Step 3: Analyzing the GLBB Graph

• Identify the Curvature:

  • The curvature indicates varying speeds; the steeper the curve, the greater the acceleration.

• Calculate Displacement:

  • Use the formula for displacement from the graph: [ \text{Displacement} = \text{Final Position} - \text{Initial Position} ]

• Area Under the Curve:

  • For GLBB, the area under the curve represents the distance traveled. Use geometric formulas to calculate areas (e.g., triangles and rectangles).

Step 4: Practice Problems

• Problem 1: Calculate the distance from a GLB graph where the line extends from (0,0) to (4,20).

  • Determine the speed and total distance: [ \text{Speed} = \frac{20 - 0}{4 - 0} = 5 \text{ units/time} ]
    • Total distance = 20 units.

• Problem 2: Using a GLBB graph with points (0,0) to (3,18) and (3,18) to (6,36).

  • Calculate the displacement: [ \text{Displacement} = 36 - 0 = 36 \text{ units} ]
  • Calculate the area under the curve using appropriate geometric shapes.

Conclusion

In this tutorial, you learned how to analyze and calculate distance and displacement from motion graphs (GLB and GLBB). Understanding these principles will enhance your ability to interpret motion graphs in physics. For further practice, try creating your own graphs and calculating the respective distances and displacements.