Sketch a velocity vs. time graph of a car accelerating in the positive direction. What is the slope of a velocity vs. time graph equal to?

Acceleration

Explanation:

Let me teach u a trick, most teachers loves to tell students to memorize what the slope means, and what does the area below the graph mean, and i think this is bs

So how u do it is this

Now it is a velocity vs time

Now to find the slope u would take

Velocity / time

Now what is the unit for velocity? m/s

What is the unit for time? s

Therefore since u know to find the slope u use

Velocity divide by time

So just take the unit of velocity divide the unit of time and see what unit u get

m/s ÷s

m/s x 1/s

= m/s^2

What unit is this?

This is the unit for acceleration

This trick works for every graph u see, and let me show u an extra bonus one

Now u are velocity vs time graph

Now if they ask u what does the area below graph means?

So u know area is just height x length, in other words y axis × x axis

So it means velocity x time

Therefore what would u get? Same trick

m/s x s

= m

What is m? m is meter, and this stands for displacement