Question

1. consider the following velocity - time graphs...

a) which graph(s) show an object travelling with uniform motion? (1)
b) what does the slope of the line in a velocity - time graph tell us? (1)

Explanation:

a)

Step1: Recall definition of uniform motion

Uniform motion means constant velocity.

Step2: Analyze graphs

In a velocity - time graph, a horizontal line (constant \(y\) - value) represents constant velocity. Graph A has a horizontal line.

b)

Step1: Recall the formula for acceleration

Acceleration \(a=\frac{\Delta v}{\Delta t}\), which is the slope of the velocity - time graph (\(a = m=\frac{v_2 - v_1}{t_2 - t_1}\))

Answer:

a) Graph A shows an object travelling with uniform motion.
b) The slope of the line in a velocity - time graph tells us the acceleration of the object.