Question 1
Which of the following graphs displays a particle with constant velocity?
Explanation: For this question, we need to find out which graph represents constant velocity.
First, let's recall that velocity is defined as the amount of displacement that an object undergoes in a given amount of time. Hence, a graph in which the displacement is changing at a constant rate is showing a velocity that is constant. If this line is not straight in a graph of displacement vs. time, then the velocity is changing during the object's travel.
In a graph of acceleration vs. time, a straight flat line indicates that acceleration is not changing. And since acceleration is defined as a change in velocity with respect to time, a flat line indicates that the velocity is changing at a constant rate. Thus, in this scenario, velocity would not be constant (since it is changing at a constant rate). In an acceleration vs. time graph that contains an upward facing straight line, this indicates that the acceleration is increasing at a constant rate. And if acceleration is increasing at a constant rate, then the velocity would be increasing at an even greater rate (an exponential rate).



