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F-BF.1.a Warmup M2-014-A01-V02

Build quadratic and exponential functions from context using explicit formulas, recursive processes, or calculation steps.

Write a projectile height function from initial height and initial velocity

Problem

Construct the rocket height function using the specified gravity term \(-4.9t^{2}\), starting height \(12~\text{meters}\), and upward velocity \(30~\mathrm{m}/\mathrm{s}\). Explain the role and sign of every term and check the initial height.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-BF.1.a
Category
Functions
Domain
Building Functions
Objective
Build quadratic and exponential functions from context using explicit formulas, recursive processes, or calculation steps.
Problem type
Write a projectile height function from initial height and initial velocity