3)

Reasoning and Proving

A flaming arrow is

shot into the air to

mark the beginning

of a festival. Its

height, in metres,

after t seconds is modelled by

the function h(t) = -4.9t² +24.5t+2.

Representing

Selecting Tools

Problem Solving

Connecting

Reflecting

Communicating

a) Determine the height of the arrow at 2 s.

b) Determine the rate of change of the height

of the arrow at 1, 2, 4, and 5 s.

c) What happens at 5 s?

d) How long does it take the arrow to return

to the ground?

e) How fast is the arrow travelling when it hits

the ground? Explain how you arrived at

your answer.

f) Graph the function. Use the graph to

confirm your answers in parts a) to e).