A car is moving according to the following distance D function over the range from t=0 to t=1=π/ω:D(t) = Lsin(ωt)Where L is the amplitude of the movement or displacement or linear distance, ω is the angular frequency of the movement and t is the time. Confining this example to linear movement, then D is the distance and 0 < D < L = 1 for 0 < t < π/ω.a) Derive expressions for the distance D, velocity V and acceleration A as a function of time t.