Physics help?

Question

In class we did this experiment with a ball on an incline. We used a motion detector and it made two graphs on the computer. one positon vs. time and one velocity vs. time. both are of the same ball and motion. it says to find the equations to both graphs. like on the p vs t, its a quadratic equation, and on the velocity one its a linear equation. well the question is

how does the constant in the position vs. time equation relate to the slope of the velocity vs. time equation??

Answer 1

the velocity versus time will be:
v(t)=v0+a*t

The position versus time will be
s(t)=s0+v0*t+.5*a*t^2

a will be g*sin(th), where
g is gravity (10 m/s^2)
and th is the angle of the incline w/r/t horizontal

a is the slope of the velocity versus time equation

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