Distinguish between a distance-time graph and a speed-time graph.

A distance-time graph and a speed-time graph are two ways to represent the motion of an object graphically, but they show different aspects of the motion.

1. Distance-Time Graph: - Shows how far an object has traveled over a specific period. - The x-axis typically represents time, while the y-axis represents distance. - A straight line indicates constant speed. - A curve indicates changing speed; the steeper the slope, the faster the object is moving. - A horizontal line means the object is stationary (no change in distance).

2. Speed-Time (or Velocity-Time) Graph: - Shows the speed or velocity of an object over time. - The x-axis represents time, while the y-axis represents speed or velocity. - A horizontal line indicates constant speed or velocity. - A sloped line indicates acceleration or deceleration; the steeper the slope, the greater the acceleration. - If the line is above the x-axis, the object is moving in the positive direction; if below, it may indicate the object is moving in the negative direction (in the case of a velocity-time graph). - The area under the curve represents the total distance traveled.