Question

On a speed-time graph, the ___ measures acceleration.

a. x-intercept
c. slope
b. y-intercept
d. x-axis

Answer 1

c. slope

Because the in the graph you find the slope as the change of speed ÷ the change is time, and that is the definition of acceleration.

Answer 2

Slope

Explanation:

On a speed- time graph, the slope measures acceleration of the object. The mathematical form of acceleration is given by :

a = (charge in velocity)/(change in time)

For example :

In the attached graph, the y axis shows speed and the x axis shows time taken. The slope of the graph can be calculated as :

`m=(y_2-y_1)/(x_2-x_1)`

`m=(20-0)/(2-0)`

Acceleration, a = m = 10 m/s²

So, on v-t graph, the slope measures the acceleration.