Motion of Freely Falling Objects

Question

What physical quantity does the slope of the Velocity-Time graph represent (if I'm not mistaken, it is acceleration?)?

What does the vertical intercept of the Velocity-Time graph represent (as in the b in y=mx b, and if i'm not mistaken again, is it time?)?

What do the signs (positive or negative) of the slope represent?

Thank you in advance everyone! =)

Answer 1

I am assuming that velocity is drawn along vertical axis and time along horizontal.

1. Yes, acceleration. Slope of the graph gives acceleration.

2. For vertical intercept, t = 0. Therefore, vertical intercept represents initial velocity.

3. Positive slope means that velocity is increasing and negative sign means that velocity is decreasing.

Answer 2

1. yup, sounds like acceleration

2. Probably not time.  Initial velocity is my bet.

3.  negative of positive slope determines if you are acceleration or decelerating.