Problem preview
F-LE.6 Warmup M2-027-A01-V01

Apply quadratic functions to physical situations such as projectile motion under gravity.

Identify the initial height from a projectile function

Problem

Identify the initial height in projectile function \(h(t)=-16t^2+48t+5\).

Big Picture

What this problem is really about

Initial height means the model’s output at the launch instant, so the decisive input is zero. We’ll substitute that input, observe which terms vanish, and distinguish the remaining position value from coefficients that describe velocity and gravity.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-LE.6
Category
Functions
Domain
Linear, Quadratic, and Exponential Models
Objective
Apply quadratic functions to physical situations such as projectile motion under gravity.
Problem type
Identify the initial height from a projectile function