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Question

Question: The displacement of an elastic wave is given by the function y = 3 sin wt + 4 cos wt where y is in c...

The displacement of an elastic wave is given by the function y = 3 sin wt + 4 cos wt where y is in cm and t is in s. The resultant amplitude is

A

3 cm

B

4 cm

C

5 cm

D

7 cm

Answer

5 cm

Explanation

Solution

Resultant amplitude

=32+42=9+16=5cm= \sqrt{3^{2} + 4^{2}} = \sqrt{9 + 16} = 5cm