Final answer:
In this case, the acceleration of the person from t = 2 to t = 4 seconds is 5 m/s²
The answer is option ⇒4
Step-by-step explanation:
The graph provided represents the velocity of a person running and walking over a certain period of time. To calculate their acceleration from t = 2 to t = 4 seconds, we need to find the change in velocity over that time interval.
Acceleration is defined as the rate of change of velocity with respect to time. Mathematically, it is calculated using the formula:
Acceleration (a) = Change in velocity (Δv) / Change in time (Δt)
In this case, we are interested in finding the change in velocity from t = 2 to t = 4 seconds. Looking at the graph, we can see that the velocity at t = 2 seconds is approximately 5 m/s, and the velocity at t = 4 seconds is approximately 15 m/s.
To find the change in velocity, we subtract the initial velocity from the final velocity:
Δv = Final velocity - Initial velocity
= 15 m/s - 5 m/s
= 10 m/s
Next, we need to find the change in time, which is given as Δt = t2 - t1 = 4 s - 2 s = 2 s.
Now, we can calculate the acceleration:
Acceleration (a) = Δv / Δt
= 10 m/s / 2 s
= 5 m/s²
Therefore, the acceleration of the person from t = 2 to t = 4 seconds is 5 m/s². This means that their velocity is increasing by 5 meters per second, every second, during this time interval.
The answer is option ⇒4
Your question is incomplete, but most probably the full question was:
A person runs and walks around. Their velocity a a function of time is shown below. Use the graph to calculate their acceleration from t = 2 to t = 4 s
- 5 m/s²
- 4 m/s²
- 10 m/s²
- 8 m/s²