W-1035

A sky rocket firework is launched from a 40-metre high roof top. The height of the firework, h, in metres above the ground at time, t, in seconds is modelled by the function: h(t) = −4.7t² + 35t + 40. Include concluding statements and

units where necessary to receive full marks.

a) Calculate h(2) and h(8)

b) Calculate the average rate of change between 2 and 8 seconds.

c) Create an instantaneous rate of change expression using LIMITS

d) Calculate IROC at 4 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