QUESTION IMAGE
Question
acceleration worksheet
the slope of a velocity - time graph is equal to the acceleration of the object.
Step1: Recall the formula for acceleration
Acceleration \(a=\frac{\Delta v}{\Delta t}\), where \(\Delta v\) is the change in velocity and \(\Delta t\) is the change in time.
Step2: Relate it to the slope of a velocity - time graph
The slope of a graph is given by \(m = \frac{y_2 - y_1}{x_2 - x_1}\). In a velocity - time graph, \(y\) represents velocity (\(v\)) and \(x\) represents time (\(t\)). So the slope \(m=\frac{v_2 - v_1}{t_2 - t_1}\), which is exactly the formula for acceleration.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
True