Modelling and problem solving

Can you please help with the following problem

Julia likes to fly model rockets and from past experience has worked out that the height(h) in metres of a rocket, t seconds after launch can be modelled with the equation:

h = 40t (k-t)

1. Find the max h of a rocket that landed after 12 seconds

2. Find the max h in terms of k

3. What assumption is Julia making about the flight of a model rocket

4. What is the effect of this assumption on the time it takes the rocket to reach its maximum height

5. Is the following statement a strength or weakness of Julia's model? Justify your answer with mathematical reasoning. "The model takes into account the fact that a rocket that flies heigher is in the air for a longer period of time."

Re: Modelling and problem solving

Quote:

Originally Posted by

**elmidge** Can you please help with the following problem

Julia likes to fly model rockets and from past experience has worked out that the height(h) in metres of a rocket, t seconds after launch can be modelled with the equation:

h = 40t (k-t)

1. Find the max h of a rocket that landed after 12 seconds

2. Find the max h in terms of k

3. What assumption is Julia making about the flight of a model rocket

4. What is the effect of this assumption on the time it takes the rocket to reach its maximum height

5. Is the following statement a strength or weakness of Julia's model? Justify your answer with mathematical reasoning. "The model takes into account the fact that a rocket that flies heigher is in the air for a longer period of time."

What have you tried?

-Dan

Re: Modelling and problem solving

Just need help to get started