Consider the function f(:c) = 6 73:2 on the interval [ 6, 5]. Find the average or mean slope of the function on this interval, i.e. \"5)""\"\" - 5(6) _ By the Mean Value Theorem, we know there exists a c in the open interval ( 6, 5) such that f '(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Suppose h(t) represents the height of a projectile at time t on the time interval [0, 5] seconds. h(3) - h(1) a) What does 31 represent physically (i.e. in terms of the projectile's motion). b) What does h'(c) represent physically (i.e. in terms of the projectile's motion) where 0 S c S 3 . c) What does the Mean Value theorem tell us in relation to parts a and b and in terms of the projectile's motion