A particle executes the motion described by `x(t) = x_0 (1-e^(-gammat) , t le 0, x_0 > 0`. Where does the particle start and with what velocity?

A particle executes the motion described by x(t) = x_0 (1-e^(-gammat) , t le 0, x_0 > 0 . Find maximum and minimum vlaues of x(t), v(t), a (t). Show that x (t) and a (t) increase with time and v (t) decreases with time.

The motion of a particle executing simple harmonic motion is described by the displacement function, x(t) = A cos (omegat + phi) . If the initial (t = 0) position of the particle is 1 cm and its initial velocity is omega cm//s , what are its amplitude and initial phase angle ? The angular frequency of the particle is pi s^-1 s If instead of the cosine function, we choose the sine function to describe the SHM : x= B sin (omegat+alpha) , what are the amplitude and initial phase of the particle with the above initial conditions.

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. What are its amplitude and frequency ?

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. What is the initial phase at the origin ?

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. What is the least distance between two successive crests in the wave ?

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. Is this a travelling wave or a stationary wave ? If it is travelling, what are the speed and direction of its propagation ?

The velocity of a particle executing SHM is V_1 when displacement is X_1 and V_2 when displacement is x_2 . What is the amplitude of vibration of the particle?

Figure shows the position-time graph of a particle of mass 4 kg. What is the:-force on the particle for t 4 s, 0

In the given progressive wave y=5sin (100pit-0.4 pix) where y and x are in m, t in s. What is the particle velocity amplitude?