GOZUNTA
Try it now
Problem preview
A-CED.1 Warmup M2-002-A06-V02

Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.

Create and solve a quadratic equation from motion context

Problem

At \(t\) seconds after launch, an object's height is \(h(t)~=~-5t^{2}~+~20t~+~1\). Use the displayed graph to set the height equal to \(1\), solve for \(\text{both}~\text{roots}\), and identify when the object returns to that height.

A scaled graph of h of t equals negative five t squared plus twenty t plus one from zero through four seconds. The parabola begins at height one, reaches height twenty-one at two seconds, and returns to the height-one target. The intersection times are not annotated.
The motion model and height-1 target are shown on scaled axes without labeled intersections.
Open full size
Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-CED.1
Category
Algebra
Domain
Creating Equations
Objective
Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Problem type
Create and solve a quadratic equation from motion context