Question

Let y(t)=r(t)−2r(t−1)+r(t−3)+u(t−4), where r(t) is the ramp function.
a) plot y(t)

Answer 1

The question requires knowledge of piecewise functions, time-shifting, and equations of motion for plotting and evaluating various functions in physics.

Step-by-step explanation:

The student's question involves plotting the function y(t) given the equation y(t)=r(t)−2r(t−1)+r(t−3)+u(t−4), where r(t) is the ramp function. The equation has elements of time-shifted ramp functions and a unit step function. Plotting y(t) requires understanding piecewise functions and the effect of time-shifting on signals.

Part b of the question suggests using the equations of motion for x and y as functions of time to evaluate them at t = 10.0 seconds. This involves substituting the value of t into the provided equations and solving for the positions at that instant.

Part c of the question refers to the estimation of wave characteristics such as amplitude and wavelength from a given graph. This requires observing the graph and using the properties of sine or cosine functions that model wave behaviour.