The purpose of this discussion is to: find an equation to a real life situation such as the problem described below I want to see your ideas, and perspectives.
Suppose the staging platform for a fireworks display is 6 ft above ground, and the mortars leave the platform at 96 ft/sec. The height of mortars h(t) (in feet) can be modeled by
h(t)=−16t2 + 96t + 6,
where t is the time in seconds after launch: Find the following
- If the fuses are set for 3 sec after launch, at what height will the fireworks explode?
- Will the fireworks explode at their maximum height? Explain
Instruction:
- Discuss the fact why it is a parabola problem.
- Set up an equation of the form: h(t) = a (t − h)2 + k
- Use the vertex formula to write the equation and solve the problem above.
- Respond to at least two students post.
- Discuss their solutions, why you agree or disagree with them.