Answer:

Step-by-step explanation:
Given
The attached graph
Required
Calculate the constant of proportionality.
Represent the required constant with k.
Such that:

Pick any two corresponding values of x and y

This means that:

becomes


Answer:
2
Step-by-step explanation:
There are 4 x's at 1 mile so he took 4 1 mile hikes
There are 2 x's at 1 1/4 mile so he took 2 1 1/4 mile hikes
We want to know how many more 1 mile hikes than 1 1/4 mile hikes
4 -2 = 2
From the equation of motion, we know,

Where s= displacement
u= initial velocity
a= gravitational force
t= time
Displacement is 0 since the ball comes back to the same point from where it was thrown.
A =
since the ball is thrown upwards.
Plug the known values into the equation.
=> 
Solving for u gives :
u= 16.67 m/ sec ....... equation (1)
At maximum height, final velocity i.e v is 0
Time take to reach the top = 

=> 
Solving for s we get
s= 14.16 m