A wave pulse is traveling on a string at 2 m/s. Displacement y of the particle at x = 0 at any time t is given by 2(t2+1). Find the expression of the function y = (x, t), i.e., displacement of the particle at position x and time t.
A
y=2(t−x2)2+1
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B
y=2(t−x4)2+1
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C
y=2(t−2x)2+1
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D
y=2(t−4x)2+1
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Solution
The correct option is Ay=2(t−x2)2+1 Replacing t→t−xv=t−x2, we get y=2(t−x2)2+1