Physics Motion Question

[Guest VooDoo]

Hi Guys,

 

For a physics practical investigation I will be investigating the change in height (angle) of an inclined plane and the time taken to travel down the incline.

Now for my hypothesis and results I am a bit stuck. For the hypothesis I will be using the following formula.

 

x=ut+.5at^2

 

Where:

x=distance down the incline plane (meters)

u=Initial velocity (m/s)

t=time taken to travel down (seconds)

a=acceleration down the incline plane (m/s/s meters per second per second)

 

Now for our situation

x=1.58

u=0

t=?

a=gSinΦ (Φ varies with different heights)

 

So now I can build a relationship between the height (or the angle of inclination) and the time taken to travel.

 

Now I substitute values into the formula to get:

 

x=.5at^2 (because u=0)

 

Then transpose:

2x=at^2

t^2=(2x)/(gSinΦ

 

Now we know that the values of 2x and g (g = 9.8 = acceleration due to gravity) remain constant (well we assume they do). How do I create a direct proportionality between t and Φ ?? So I get a straight line graph when I plot the two?

[swansont]

How do I create a direct proportionality between t and ? ?? So I get a straight line graph when I plot the two?

 

You can only get a linear graph if the relationship is actually linear. (unless it's exponential, and you use a log scale)

 

If you want a straight line, you'll have to graph t² vs sin (phi)