Question

the diagram shows a graph of distance as a function of time for an object in straight - line motion. according to the graph, the object most likely has
an increasing speed
a decreasing mass
a constant momentum
a decreasing acceleration
clear all

Explanation:

Step1: Recall the relationship between distance - time graph and speed

The slope of a distance - time graph represents speed.

Step2: Analyze the slope of the given graph

The slope of the distance - time graph is increasing with time. Since slope = speed, the speed of the object is increasing.

Step3: Analyze other options

Mass is not related to the distance - time graph directly. Momentum \(p = mv\), and without information about mass and the non - constancy of speed, we can't say momentum is constant. Acceleration is the rate of change of speed. Since speed is increasing, acceleration is non - zero and not decreasing as speed is increasing at an increasing rate (from the shape of the curve).

Answer:

an increasing speed