Answer:
The average acceleration is the slope of the graph found as [tex]Average\, acceleration = \frac{v_{1}-v_{2}}{t_{1}-t_{2}}[/tex]
Explanation:
Here we have
The formula for acceleration is derived as follows
v₁ = v₂ + at which is similar to the equation, y = mx + c, such that the acceleration, a, is the slope and u is the y intercept
average acceleration, a = (v₁-v₂)/(time for the change)
or [tex]Average\, acceleration = \frac{\Delta v}{\Delta t} = \frac{dv}{dt}= Slope \, of\, line \, graph[/tex]
So to find the average acceleration, you take two points on the line graph with y coordinates v₁ and v₂ and their corresponding x coordinates t₁ and t₂and plug in the values into the following equation
[tex]Average\, acceleration = \frac{v_{1}-v_{2}}{t_{1}-t_{2}}[/tex].
Answer:
[tex]\large \boxed{\mathrm{slope \ of \ the \ graph}}[/tex]
Explanation:
[tex]\displaystyle acceleration = \frac{change \ in \ velocity }{elapsed \ time}[/tex]
[tex]\displaystyle acceleration = \frac{\Delta V }{\Delta t}[/tex]
The average acceleration over a certain time interval tells us by how much the velocity changes per time unit over that interval.
The slope or rise over run of a velocity-time graph tells us about the average acceleration.
