A particle's (x, t) coordinates at two instants are A (x=-14m, t=3s) and B (x=6m, t=1s). What is the particle's average velocity during this time?

The position of a particle moving in a straight line is given by the function S (t) = t3 − 6t2,t ≥ 0. The graph of S against t is shown. The corresponding velocity–time graph is alsoshown. The function describing the velocity is V(t) = 3t2 − 12t.1 2 3 41 2 3 45 650–5–10–10–20010–30S(t) = t3 – 6t2 V(t) = 3t2 – 12tVSt ta Find the average velocity of the particle for the intervals:i [3.5, 4.5] ii [3.9, 4.1] iii [3.99, 4.01]b From part a, what is the instantaneous velocity when t = 4?c i For what values of t is the velocity positive?ii For what values of t is the velocity negative

The position of an object moving along x-axis is given by x = a + bt2 where a = 8.5 m, b =2.5 m s–2 and t is measured in seconds. What is its velocity at t = 0 s and t = 2.0 s. Whatis the average velocity between t = 2.0 s and t = 4.0 s ?

A particle moving along the straight line travels first 3m distance with speed 2 m/s, second 3m distance with speed 3 m/s and the third 3m distance with speed 6 m/s. The average speed of the particle is :-

As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is:

A particle moving in a straight line covers half the distance with speed of 3 m/s. The another half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s, respectively. The average speed of the particle during this motion is