Question

A particle moves along x-axis in such a way that its coordinate x varies with time t according to the equation x=3-7t+8t2 .What is its initial velocity?

Answer 1

Particle is moving along x-axis so displacement is also along x-axis  

Now , ⇒ x = 6t²-5t+2

since , V = dx/dt

Differentiating w.r.t. 't'

⇒ v = 6 × 2t - 5

⇒ v = 12t - 5