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Two pulses traveling on the same string are described by the following equations, where k = 2 and w = 7. 5 -5 (kx - wt)² + 2 (kx + wt - 6)² + 2 (a) In which direction does the first pulse travel? O O Y₁ +X -X +y -Y X At t = 0 the maximum of this function occurs at x = 0. If t is a little bigger than zero, where does the maximum occur? In which direction does the second pulse travel? O +x -X Y₂ +y (b) At what instant do the two pulses cancel for all x? t = 0.42 s (c) At what point do the two pulses cancel at all times t? x = 0.42 X Remember that A² = B² implies either A = B or A = -B. m

Two pulses traveling on the same string are described by the following equations, where k = 2 and w = 7. 5 -5 (kx - wt)² + 2 (kx + wt - 6)² + 2 (a) In which direction does the first pulse travel? O O Y₁ +X -X +y -Y X At t = 0 the maximum of this function occurs at x = 0. If t is a little bigger than zero, where does the maximum occur? In which direction does the second pulse travel? O +x -X Y₂ +y (b) At what instant do the two pulses cancel for all x? t = 0.42 s (c) At what point do the two pulses cancel at all times t? x = 0.42 X Remember that A² = B² implies either A = B or A = -B. m

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Two pulses traveling on the same string are described by the following equations, where k = 2 and w = 7. 5 Y₂ (kx - wt)² + 2 Y₁ = (a) In which direction does the first pulse travel? O +x O-x O+y O-Y At t = 0 the maximum of this function occurs at x = 0. If t is a little bigger than zero, where does the maximum occur? In which direction does the second pulse travel? +X -X -5 (kx + wt - 6)² + 2 O +y -Y (b) At what instant do the two pulses cancel for all x? t = 0.42 S (c) At what point do the two pulses cancel at all times t? x = 0.42 X Remember that A² = B² implies either A = B or A = -B. m
Transcribed Image Text:Two pulses traveling on the same string are described by the following equations, where k = 2 and w = 7. 5 Y₂ (kx - wt)² + 2 Y₁ = (a) In which direction does the first pulse travel? O +x O-x O+y O-Y At t = 0 the maximum of this function occurs at x = 0. If t is a little bigger than zero, where does the maximum occur? In which direction does the second pulse travel? +X -X -5 (kx + wt - 6)² + 2 O +y -Y (b) At what instant do the two pulses cancel for all x? t = 0.42 S (c) At what point do the two pulses cancel at all times t? x = 0.42 X Remember that A² = B² implies either A = B or A = -B. m
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