Question

The position y of a particle is varying with time t as y = a + bt + ct² + dt4. The initial rate of change of position of the particle is​

Answer 1

Initial velocity is given by vt=0=dtdy∣t=0=[b+2ct−4dt3]t=0=b

Initial acceleration, at=0=dtdv∣t=0=[2c−12dt2]t=0=2c