Question

Derive acceleration from velocity time graph

Answer 1

It was learned earlier in Lesson 4 that the slope of the line on a velocity versus time graph is equal to the acceleration of the object. If the object is moving with an acceleration of +4 m/s/s (i.e., changing its velocity by 4 m/s per second), then the slope of the line will be +4 m/s/s.

Answer 2

Acceleration = Change in velocity / Change with time

The velocity time graph is a graph of velocity against time.

The gradient of this graph gives the acceleration.

The y axis represents the velocity whereas the x axis represents the time.

Now lets take two points on the graph.

lets take (v₀,t₀) and (V₁ and V₂).

The change in velocity = V₁ - V₀

Change in time = t₁ - t₀

Acceleration = (V₁ - V₀) / (t₁ - t₀)

Acceleration = ΔVelocity/Δtime