In the vertical motion model h(t) = -16 t^2 + v0 t + h0, which symbol represents the initial height?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

In the vertical motion model h(t) = -16 t^2 + v0 t + h0, which symbol represents the initial height?

Explanation:
The starting height is the value of height when time is zero. In the model h(t) = -16 t^2 + v0 t + h0, the h0 term is that starting height. If you plug in t = 0, you get h(0) = -16(0)^2 + v0(0) + h0 = h0, confirming it’s the height at the initial moment. The other parts represent how height changes over time: -16 t^2 comes from gravity, and v0 t adds the contribution from the initial vertical velocity. The symbol for the initial height is h0.

The starting height is the value of height when time is zero. In the model h(t) = -16 t^2 + v0 t + h0, the h0 term is that starting height. If you plug in t = 0, you get h(0) = -16(0)^2 + v0(0) + h0 = h0, confirming it’s the height at the initial moment. The other parts represent how height changes over time: -16 t^2 comes from gravity, and v0 t adds the contribution from the initial vertical velocity. The symbol for the initial height is h0.

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