Question

question 18 (1 point) ✓ saved
which graph(s) represents a constant velocity?

a) a and c b) b and c
c) c d) a and b

Explanation:

Step1: Recall the formula for velocity

Velocity \(v=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the change in displacement and \(\Delta t\) is the change in time. For a constant velocity, the displacement - time graph should have a constant slope.

Step2: Analyze graph a

In graph a, the displacement does not change with time (\(\Delta x = 0\)). So, \(v=\frac{0}{\Delta t}=0\) (constant velocity of zero).

Step3: Analyze graph b

In graph b, the displacement - time graph is a straight line. The slope \(\frac{\Delta x}{\Delta t}\) is constant. So, the velocity is constant.

Step4: Analyze graph c

In graph c, the displacement - time graph is a curve. The slope \(\frac{\Delta x}{\Delta t}\) is changing (since the tangent to the curve at different points has different slopes). So, the velocity is not constant.

Answer:

d) a and b