Question

Find the displacement when t=0 in the oscillating weight system described by y(t) = 3e^cos(4t), where y is the displacement (in centimeters) and t is the time (in seconds).

A) 0 cm
B) 3 cm
C) -3 cm
D) 1.5 cm

Answer 1

The displacement of the oscillating weight system at t=0 is approximately D) 1.5 cm.

Step-by-step explanation:

The displacement of the oscillating weight system described by the equation y(t) = 3e^cos(4t) when t=0 can be found by substituting t=0 into the equation. Let's substitute t=0 into the equation:

y(0) = 3e^cos(4*0)

y(0) = 3e^cos(0)

y(0) = 3e^1

y(0) = 3e

So, the displacement when t=0 is approximately 3e centimetres.

Therefore, the correct answer is D) 1.5 cm.