RE-NEET Physics Motion in a Straight Line Class 11 Questions

Consider a particle moving along a straight line, whose position as a function of time is given by $s(t) = \alpha t^2 - \beta t + \gamma$, where $\alpha = 1$ m/s², $\beta = 6$ m/s and $\gamma = 5$ m. The average speed of the particle, in m/s, from t = 0 to t = 6 is:

A particle is moving along x-axis with its position (x) varying with time (t) as x = αt⁴ + βt² + γt + δ. The ratio of its initial velocity to its initial acceleration, respectively, is: