Draw a velocity-time graph for a body moving with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.

Explanation

To solve the problem of drawing a velocity-time graph for a body moving with an initial velocity \( u \) and uniform acceleration \( a \), and to find the distance traveled by the body in time \( t \), we can follow these steps:

### Step 1: Understand the Motion
We know that the body starts with an initial velocity \( u \) and accelerates uniformly at a rate \( a \). The final velocity \( v \) at time \( t \) can be calculated using the equation:
\[ v = u + at \]

...