7.5.4 A Quadratic Expression that Represents the Relationship between Distance and Time

Algebra 17.5.4 A Quadratic Expression that Represents the Relationship between Distance and Time

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The expression $16 t^{2}$ represents the distance in feet an object falls after $t$ seconds. Assume an object is dropped from a height of 906 feet.

What is the height of the object in feet 2 seconds after it is dropped?

Compare your answer:

The object is at 842 feet 2 seconds after it’s dropped. $906 - 16 (2)^{2} = 906 - 16 (4) = 906 - 64 = 842$

Write an expression representing the height of the object in feet $t$ seconds after it is dropped.

Compare your answer:

$906 - 16 t^{2}$

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
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- Book title: Algebra 1
- Publication date: Jun 4, 2025
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- Section URL: https://openstax.org/books/algebra-1/pages/7-5-4-a-quadratic-expression-that-represents-the-relationship-between-distance-and-time

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