Suppose a ball is hit at an angle of 60° from point A on the 4.5' by 9' billiards table shown below. Will the ball hit the sides of the table at least five times before going into a pocket? Explain your answer.
Yes. See the sketch. The angle of incidence equals the angle of reflection so that a series of
parallelograms is made by the path of the ball.
Mathematics
You might also like to view...
Find the principal unit normal vector N for the curve r(t).r(t) = (t2 + 3)j + (2t - 4)k
A. N = 
j - 
k
B. N = - 
j + 
k
C. N = 
j - 
k
D. N = - 
j + 
k
Mathematics
Find the area of the specified region.Shared by the cardioids r = 8(1 + sin ?) and r = 8(1 - sin ?)
A. 1664 B. 32(3? - 8) C. 32(3? + 8) D. 16(5? + 8)
Mathematics
Write the expression as sums or differences of multiples of logarithms.log6
A. 
log63x
B. log6
+ log6
C. 
log63 + 
log6x
D. log63 + 
log6x
Mathematics
Find the equation of the transverse axis of the hyperbola.x2 - y2 = 200
A. y = 200x B. y = -x C. x = 0 (y-axis) D. y = 0 (x-axis)
Mathematics