A Law of Physics. A ball is thrown straight up in the air with an initial velocity of 10 (m/sec). According to the laws of physics, if you let y denote the velocity of the ball after x seconds, y = 10 − 9.81x.

a. Determine b0 and b1 for this linear equation.

b. Determine the velocity of the ball after 2, 4, 6, and 8 sec.

c. Graph the linear equation y = 10 − 9.81x, using the four points obtained in part (b).

d. Use the graph from part

(c) to estimate visually the velocity of the ball after 3 sec. Then calculate that velocity exactly by using the linear equation y = 10 − 9.81x.

In each of Exercises 14.27–14.30,

a. find the y-intercept and slope of the specified linear equation.

b. explain what the y-intercept and slope represent in terms of the graph of the equation.

c. explain what the y-intercept and slope represent in terms relating to the application.