W-1031

A soccer ball is kicked from a 12-metre high roof top. The height of the soccer ball, h, in metres, above the ground at time, t, in seconds is modelled by the function: h(t) = -3.21² +42t + 12. Include concluding statements and units

where necessary to receive full marks.

a) Calculate h(1) and h(5)

b) Calculate the average rate of change between 1 and 5 seconds

c) Create an instantaneous rate of change expression using LIMITS

d) Calculate IROC at 3.5 seconds using the expression from above.

e) Explain the difference between average rate of change and instantaneous rate of change. Discuss differences and effectiveness of each.