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