Question

question 7 (1 point)
which graph(s) represents a constant velocity?

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

a
b
c
d

Explanation:

Step1: Recall velocity from displacement - time graph

Velocity is the slope of the displacement - time graph ($v=\frac{\Delta d}{\Delta t}$, where $d$ is displacement and $t$ is time). A constant velocity means a constant slope.

Step2: Analyze graph a

In graph a, displacement is constant with respect to time. The slope (velocity) is $\frac{\Delta d}{\Delta t}=\frac{0}{\Delta t} = 0$, which is a constant (zero) velocity.

Step3: Analyze graph b

In graph b, displacement - time graph is a straight line with a non - zero slope. Since it's a straight line, the slope (velocity) is constant.

Step4: Analyze graph c

In graph c, the displacement - time graph is a curve. The slope (velocity) changes as we move along the curve (because the rate of change of displacement with respect to time is changing), so velocity is not constant.

Answer:

d) a and b