The graph depicts the velocity and times of elan and anna during a race.
which best depicts the data?
from 0 to 2 seconds, anna experienced negative acceleration.
from 3 to 6 seconds, elan accelerated while anna did not.
from 6 to 8 seconds, elan accelerated faster than anna.
from 8 to 10 seconds, elan experienced negative acceleration.

For this case, the first thing you should observe is the variables:

Vertical axis: speed

Horizontal axis: time

Since the relationship between both variables is linear then we have that the slope of the line represents the acceleration according to the formula:

Where,

a: acceleration

t: time

vf: final speed

vo: initial speed

According to the equation, in the interval of 6 to 8 seconds, we observe that the slope of the Elan line is greater than the slope of the Anna line.

Therefore, for the 6 to 8 second interval, the Elan acceleration is greater.

From 6 to 8 seconds, Elan accelerated faster than Anna.

Explanation :

The given graph depicts the velocity-time graph for both Elan and Anna during a race.

In this velocity-time graph, it shows the acceleration of Elan and Anna for different time intervals.

We know that acceleration is defined as :

Where,

v is the final velocity

u is the initial velocity

and t is the time taken

We know that the slope of the v - t graph gives the acceleration of an object.

So, it can be seen that from 6 to 8 seconds, Elan accelerated faster than Anna as the slope for Elan is more.

So, the correct option is (c) " From 6 to 8 seconds, Elan accelerated faster than Anna ".

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west