Question

Determine the velocity (in m/s) of the object at 10seconds. Include a numerical answer accurate to the first decimal place. If negative, include the - sign

Answer 1

v = 0.5 [m/s]

Step-by-step explanation:

In order to determine the speed in such a time interval, we must calculate the slope between the last two positions.

The slope of a line is determined by the following mathematical expression.

P₂ = point 2 = (12,12) = (x₂,y₂)

P₁ = Point 1 = (6,9) = (x₁,y₁)

In this specific case, we must see that in the x-axis we have time, and on the y-axis, we have the space axis.

Now using the slope:

`m =(y_(2) -y_(1) )/(x_(2) -x_(1) ) \\m = (12-9)/(12-6)\\m = 0.5`

This slope is equal to the speed (velocity)

v = 0.5 [m/s]