# Acceleration-Time Graph

## Homework Statement

(a) What does the area under the acceleration-time graph represent? (Hint: it is NOT velocity or speed).

(b) What is a particle doing when the graph is above or below the axis? (Hint: a graph below the axis does NOT necessarily mean deceleration).

## The Attempt at a Solution

Can someone explain these two for me, I am very confused.

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rl.bhat
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The area under the acceleration-time graph = a*Δt = ........?

The area under the acceleration-time graph = a*Δt = ........?
v? but the questions says "it is NOT velocity or speed"!

The area under the acceleration time graph along a given time interval is the change in velocity along that interval, and a negative acceleration means that the particle's velocity becomes more negative. Negative acceleration may not necessarily be deceleration, since the particle's velocity could be in the negative direction itself, thus a negative acceleration speeds up the particle! A positive acceleration just means that the particle's velocity becomes more positive with respect to time