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A. if the ball travels along a line with slope 1/3 and bounces off the wall at point (6,10) what is
the equation of the ball as it travels toward the wall?
B. What is the equation of the ball after it bounces off the wall?
Solution
equation of ball :-
y - y1 = m(x - x1)
=> y - 10 = 1/3 ( x - 6)
=> y - x/3 - 8 = 0
slope after it bounces of the wall = tan -1
1/3 +tan -1
/2 =
equation of ball :-
y - y1 = m(x - x1)
=> y - 10 = (tan -1
1/3 + tan -1
/2) * ( x - 6)
=> y - 10 = xtan -1
1/3 + xtan -1
/2 - 6tan -1
/2 - 6tan -1
1/3
=> y - xtan -1
1/3 - xtan -1
/2 = 10 - 6tan -1
/2 - 6tan -1
1/3

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  • 1. A. if the ball travels along a line with slope 1/3 and bounces off the wall at point (6,10) what is the equation of the ball as it travels toward the wall? B. What is the equation of the ball after it bounces off the wall? Solution equation of ball :- y - y1 = m(x - x1) => y - 10 = 1/3 ( x - 6) => y - x/3 - 8 = 0 slope after it bounces of the wall = tan -1 1/3 +tan -1 /2 = equation of ball :- y - y1 = m(x - x1) => y - 10 = (tan -1 1/3 + tan -1 /2) * ( x - 6) => y - 10 = xtan -1 1/3 + xtan -1 /2 - 6tan -1 /2 - 6tan -1 1/3 => y - xtan -1 1/3 - xtan -1 /2 = 10 - 6tan -1 /2 - 6tan -1 1/3