Question

if you were to calculate the slope of a line on a velocity vs. time graph like the one shown below, what would your slope tell you?
velocity (m/s)
time (s)
multiple choice 1 point
speed
time
acceleration
distance

Explanation:

Step1: Recall the formula for acceleration

Acceleration \(a=\frac{\Delta v}{\Delta t}\), which is the slope of the velocity - time graph.

Step2: Analyze the options

• Speed: Speed is a scalar quantity and not related to the slope of a velocity - time graph.
• Time: Time is the independent variable on the x - axis of the velocity - time graph, not the slope.
• Distance: Distance is related to the area under the velocity - time graph, not the slope.
• Acceleration: Since \(a = \frac{\Delta v}{\Delta t}\), and the slope of a \(v - t\) graph is \(\frac{\text{Change in velocity}}{\text{Change in time}}\), the slope of a velocity - time graph represents acceleration.

Answer:

Acceleration