Question

Draw a velocity-time graph to show the motion of a car which accelerates uniformly from rest for $5s$, and then it travels at a steady velocity for $5s$.

Answer 1

Step 1: Given data

The motion of a car which accelerates uniformly from rest for $5s$, and then it travels at a steady velocity for $5s$.

Step 2: Drawing a velocity-time graph

1. According to question for time $t=0$ to $t=5s$ acceleration is constant.
2. Therefore the slope of the velocity-time graph will be constant and positive for time $t=0$ to $t=5s.$
3. Now, for time $t=5s$ to $t=10s$ velocity is constant, therefore the slope of the velocity-time graph will be zero.

Hence, the portion of the graph during the constant velocity interval will be a horizontal line parallel to the time axis.