Question Detail
Question
The displacement x in meters at t=0 (x₀) for a S.H.M. given by the equation x = 3 sin 3π t + 4 cos 3π t is
Correct Answer
Option D is the correct answer.
Detailed Explanation
To find the displacement at t=0, substitute t=0 into the equation: x(0) = 3 sin(3π × 0) + 4 cos(3π × 0) = 3 sin(0) + 4 cos(0) = 0 + 4(1) = 4.0 m.
Hint
Substitute t=0 into the equation. sin(0)=0 and cos(0)=1.