A particle moves along a straight line. For 0 ≤ t ≤ 5, the position of the particle is given by –. a) What is the average velocity of the particle over the interval 0 ≤ t ≤ ? b) Find a general expression for the velocity of the particle as a function of time, v(t), and determine the value of v at t = 2. Is the particle traveling to the left or the right at this point? Justify your answer. c) Find all times t during the interval 0 ≤ t ≤ 5 that the particle changes direction. Justify your answer. d) At t = 4, is the speed of the particle increasing or decreasing? Justify your answer.

Tom wants to order tickets online so that he and three of his friends can go to a water park the cost of the tickets is 16.00 per person there is also a 2.50 one-time service fee for ordering tickets online write an expression in term of n that represents the cost for n ordering tickets online

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

How can you tell when x and y are not directly proportional?