A ball is thrown downward from a tall building with an initial velocity of 10 meters per second (m/sec). According to the laws of physics, if you let y denote the velocity of the ball after x seconds, y = 10 + 9.8x. Determine b0 and b1 for this linear equation. Determine the velocity of the ball after 1, 2, 3, and 4 seconds. Use these four points to graph the linear equation y = 10 + 9.8x. Use the graph to estimate visually the velocity of the ball after 2.5 seconds.

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The Answer is

\begin{array}{l} \mathrm { b } _ { 0 } = 10 , \mathrm {~b} _ { 1 } = 9.8\ \begin{array} { c | r } ext { Time (sec) } & ext { Velocity } ( \mathrm { m } / \mathrm { sec } ) \ \hline 1 & 19.8 \ 2 & 29.6 \ 3 & 39.4 \ 4 & 49.2 \end{array} \end{array}

$\begin{array}{l} \mathrm { b } _ { 0 } = 10 , \mathrm {~b} _ { 1 } = 9.8\ \begin{array} { c | r } ext { Time (sec) } & ext { Velocity } ( \mathrm { m } / \mathrm { sec } ) \ \hline 1 & 19.8 \ 2 & 29.6 \ 3 & 39.4 \ 4 & 49.2 \end{array} \end{array} Velocity of the ball after 2.5 seconds is 34.5 m/sec. Estimates should be close to this.$ Velocity of the ball after 2.5 seconds is 34.5 m/sec. Estimates should be close to this.

A Ball Is Thrown Downward from a Tall Building with an Initial