Question

y(x,t)= 0.8/((4x+5t)2 + 5)) represents a moving pulse , where x and y are in metres and t in seconds. then calculate its maximum displacement, the distance which it will travelin 2 seconds. also tell whether it a symmetric pulse or not.?

Answer 1

Given equation,

   y(x,t)= 0.8/((4x+5t)² + 5))

Displacement will be maximum when, division term will be minimum.

∴ (4x+5t)² = 0

∴  y(x,t)= 0.8/(0 + 5)

∴ y = 0.8/5

∴ y = 0.16 m.

Now, Wave speed = Coefficient of t/Coefficient of x

v = 5/4 = 1.25 m/s.

In  2 seconds. distance traveled by it = 1.25 × 2 = 2.5 m.

Wave is symmetric in nature.

Reason ⇒ Equation contains an square term of x and t. Now, Negative and Positive value will be having an positive values of square. ∴ For two values of x, there will be one value of x.

Hope it helps.

Answer 2

Answer:

Explanation:answer attached below.