Suppose the function f(a) is defined and continuous on all real numbers and you know that lim f(5 + h) - 4 = -5. h - 0 h It follows that y = is the equation of the tangent line to f (x ) at the point ( 5 3A ball is thrown upwards from the top of a building of height h. The height of the ball after 1' seconds is given by 1 Y(t) : h + st , Egt2 where h, s and g are positive constants. a) Assuming the ball is still in flight after 1 second, find the average velocity over the time interval 0 g t g 1. (Hint. Your answer may include some or all of the constants h, s and g.) b) Using the definition of the derivative, find the instantaneous velocity at t : 1. (Hint. Your answer may include some or all of the constants h, s and g.)