the speed of a falling object increases at a constant rate as time increases since the object was dropped…

the speed of a falling object increases at a constant rate as time increases since the object was dropped. which graph could represent the relationship between t, time in seconds, and s, speed in meters per second?

the speed of a falling object increases at a constant rate as time increases since the object was dropped. which graph could represent the relationship between t, time in seconds, and s, speed in meters per second?

Answer

Explanation:

Step1: Identify the relationship type

The speed of the falling - object increases at a constant rate with time. This is a linear relationship of the form (s = kt) (where (k) is the constant of proportionality, and in the context of free - fall near the Earth's surface (k = g\approx9.8\ m/s^{2})), and the graph of a linear relationship (y = mx + b) (in our case (s=kt + 0) since the initial speed when (t = 0) is (0)) is a straight line.

Step2: Analyze the given graphs

The first graph shows points that can be connected by a straight line, indicating a constant rate of change of speed with respect to time. The second graph has only two points and does not show the continuous increase over time as required.

Answer:

The first graph (the one with multiple points that can be connected by a straight line)