The maximum transverse velocity and maximum transverse acceleration of a harmonic wave in a o n e - d i m e n s i o n a l string are 1 m s - 1 and 1 m s - 2 respectively. The phase velocity of the wave is 1 m s - 1 . The waveform is

Step-by-step solution

∵ Wave equation, y = A 0 sin ⁡ k x - ω t ....(i) where, k = angular wave number = 2 π λ A 0 = amplitude ∵ v m a x = A 0 ω a m a x = ω 2 A 0 ∵ g i v e n t h a t v m a x = 1 m s , a = 1 m s 2 ∴ ω = 1 k = ω V = 1 ∴ From Equation (i), y = sin ⁡ x - t