Calculus ApplicationsHardQuestion 5142
Question
The velocity of a particle is v = A cos(ωt). The acceleration is:
- A−Aω sin(ωt)Correct
- BAω sin(ωt)
- C−Aω² cos(ωt)
- DAω² cos(ωt)
Correct answer
−Aω sin(ωt)
Explanation
a = dv/dt = d[A cos(ωt)]/dt = −Aω sin(ωt).