The graph of the cheetahs velocity over time is missing, so i have attached it.
Also, we are asked to find out which graph shows the cheetahs acceleration over time.
Answer:
Option A
Step-by-step explanation:
From the attached graph of the velocity over time, we can see the velocity line from an initial velocity of 0 to a final velocity of 28 m/s.
We also observe the following from the graph;
after 1 second, the velocity is 4 m/s
After 2 seconds, the velocity is 8 m/s
After 3 seconds, the velocity is 12 m/s
After 7 seconds, the velocity is 28 m/s
Now, from Newton's equation of motion, final velocity is;
v = u + at
u is initial velocity and in this case is zero.
Thus; v = at
a = v/t
At first point above;
a = 4/1 = 4 m/s²
At second point above;
a = 8/2 = 4 m/s²
At third point above;
a = 12/3 = 4 m/s²
At fourth point above;
a = 28/7 = 4 m/²
We can see that the acceleration at each point is 4 m/s². This means it is a constant acceleration and the graph that best represents this is Graph in Option A as it shows the acceleration is 4 m/s² all through.