Physics

To find the value of T, we can follow these steps:

 

Analyze the position-time graph:

First, analyze the motion in the first part (from t = 0 to t = 5s):

The object moves from x = 0 to x = 300m in t=5s. Since the graph is a straight line from 0 to 5s, the velocity is constant throughout. So, we have:

 

Then, analyze the motion in the second part (from t = 5s to t = T):

In the second - stage, the velocity becomes negative and the object moves from x = 300 m back to x = 0. The initial velocity for this stage (the final velocity of the first stage), and the final velocity . The displacement .

 

We can use the kinematic equation:

Click "Show Answer" to reveal the answer and analysis