Question

Effect of Gravity on Earth If a rock falls from a height of 20 meters on Earth, the height $H$ (in meters) after $x$ seconds is approximately $$ H(x)=20-4.9 x^{2} $$ (a) What is the height of the rock when $x=1$ second? When $x=1.1$ seconds? When $x=1.2$ seconds? (b) When is the height of the rock 15 meters? When is it 10 meters? When is it 5 meters? (c) When does the rock strike the ground?

          Effect of Gravity on Earth If a rock falls from a height of 20 meters on Earth, the height $H$ (in meters) after $x$ seconds is approximately $$ H(x)=20-4.9 x^{2} $$ (a) What is the height of the rock when $x=1$ second? When $x=1.1$ seconds? When $x=1.2$ seconds? (b) When is the height of the rock 15 meters? When is it 10 meters? When is it 5 meters? (c) When does the rock strike the ground?

Added by Brandi T.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Steven Clarke

10/07/2022

Step 1

Given the equation $H(x) = 20 - 4.9x^2$, Substitute $x = 1$ into the equation: $H(1) = 20 - 4.9(1)^2$ $H(1) = 20 - 4.9$ $H(1) = 15.1$ meters Step 2: Calculate the height of the rock when $x = 1.1$ seconds. Substitute $x = 1.1$ into the Show more…

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Effect of Gravity on Earth If a rock falls from a height of 20 meters on Earth, the height $H$ (in meters) after $x$ seconds is approximately $$ H(x)=20-4.9 x^{2} $$ (a) What is the height of the rock when $x=1$ second? When $x=1.1$ seconds? When $x=1.2$ seconds? (b) When is the height of the rock 15 meters? When is it 10 meters? When is it 5 meters? (c) When does the rock strike the ground?