Suppose that when you throw a stone upwards its distance, x(t), measured in metres from the ground after t seconds is given by

a. What is the stone’s average velocity between t = 0 and t = 2 seconds?

b. Assuming that x(t) = a + bt + ct2 , where

a, b and c are constants, write a system of equations for

a, b and c.

c. Use Wolfram Alpha (or some other method) to solve your equations.

d. Calculate the stone’s velocity at times t = 0 and t = 1.5 seconds.