An object's motion is described by the equation d = 4 sin (pi t). The displacement, d, is measured in meters. The time, t, is measured in seconds. Answer the following questions:

(a) What is the object's position at t = 0?

(b) What is the object's maximum displacement from its resting position?

(c) How much time is required for one oscillation?

(d) What is the frequency?

Question

Mathematics

Simon Spence

16 February, 19:27

An object's motion is described by the equation d = 4 sin (pi t). The displacement, d, is measured in meters. The time, t, is measured in seconds. Answer the following questions:

(a) What is the object's position at t = 0?

(b) What is the object's maximum displacement from its resting position?

(c) How much time is required for one oscillation?

(d) What is the frequency?

+1

Answers (1)

Know the Answer?

Leandro Gardner · Answer 1

The equation of the motion is

d = 4 sin (π t)

a) When t = 0

d = 4 sin 0

d = 0

b) We take the derivative

4π cos πt = 0

t = 1/2

d = 4 sin π/2 = 4 meters

c) 1 second is required

d) The frequency is 1Hz