Final answer:
A constant speed in a straight line means zero acceleration, which is true. The position vs time graph for an object speeding up is not a straight line, making that statement false. Finally, for constant acceleration, the displacement vs time graph is curved, and displacement vs time squared graph is straight.
Step-by-step explanation:
Your speed is constant if you are traveling in a straight line with an acceleration of zero. The best answer is:
a. True
This means that when an object is moving in a straight line and is not speeding up or slowing down, its acceleration is zero. This is because acceleration is defined as the rate of change of velocity, and if the speed is constant, the velocity's magnitude (speed) is not changing over time. Therefore, there is no acceleration.
The position vs time graph of an object that is speeding up is not a straight line. The correct statement is:
b. False
For an object speeding up, the position vs time graph would show a curve that gets steeper over time, which indicates increasing velocity.
Considering an object moving with constant acceleration, the plot of displacement versus time for such motion is a curved line. This is because as an object accelerates, it covers increasing distances in the same amount of time, which creates a parabolic shape on the graph. However, if the graph is displacement versus time squared, it would indeed be a straight line, reflecting the constant acceleration. The correct answer is:
a. True
Moreover, if a plot of displacement versus time is linear, it indicates that the acceleration is zero. The object is moving with a constant velocity, hence no change in speed over time. Therefore, the correct statement is:
a. Acceleration is zero