Calculate the average velocity at a particular time interval of a person if he moves from 10 m at 6 s to 24 m at 8 s along the x-axis?6 m/s9 m/s7 m/s50 m/s

Determine the average velocity ofthe object for the first 6.0 s.

A car travels at 54 km/hr for first 20 secs , 36 km/hr for next 30 secs and finally 18 km/hr for next 10 secs. Find its average speed.

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

An auto travels at a rate of 25 km/h for 4 minutes, then at 50 km/h for 8 minutes, and finally at 20 km/h for 2 minutes. Find the average speed for the complete trip in meters per second. (Give the answer to one decimal place accuracy.)

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 ?