b) Determine the speed and acceleration at t = 0.500 s for the particle on the wave located at x = 5.0 cm.

A sinusoidal wave traveling in the +𝑥 direction (to the right) has an amplitude of 15.0 cm, a wavelength of 10.0 cm and a frequency of 20.0 Hz. At t = 0, a particle at x = 0 has a displacement of 15.0 cm.(a) Write an expression for the wave function, y(x, t).20:39b) Determine the speed and acceleration at t = 0.500 s for the particle on the wave located at x = 5.0 cm.20:40

A wave is represented by :y (x, t) = (5 cm) sin 1(20 s ) t− 1(15 cm ) x− + Determine the velocity of the wave.

The position of a particle is defined by the equation s = 0.13t3 + t2 - 3t + 2, where s is in metres and t is in seconds. This equation is valid for the time range t=0 to t=5 seconds. Determine the following:(a) the velocity of the particle at t=1.25 seconds, v = Answer m/s(b) the acceleration of the particle at t=1.25 seconds, a = Answer m/s2

The equation, y = 5 sin (3t – 4x), where y is in millimeters, x is in metres and t is in seconds represents a wave motion. Determine the wave’s velocity of propagation.*1 point0.50 m/s0.75 m/s1.0 m/s1.2 m/s

The wavelength of the wave is 5.7 cm. Find the speed of this wave. The time from the beginning to the end of the wave train is 1 second.