Question

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 1

This is the graph of Velocity time graph when something drops !!

Answer 2

As we know ,

Speed = $\frac{Distance}{Time}$

As the object is falling from a fixed Distance, so Speed increases as time increases.

Both speed and time are Directly proportional to each other if distance remains constant.

The relationship between speed and time can be written as:

S = k T

When , T=0, S=0

T=1 s, S=1 m/s

T=2 s, S= 2 m/s

$\frac{dS}{dT}=k$=Change in speed(Average Speed), if it is Change in Velocity then it will be equal to =a (Acceleration).

There are two kinds of graph possible

1.In first quadrant and other one in third quadrant.