Abody moves along a straight line, its distance from the origin at any instant being given by the equation x = 8t − 3t2, where x is in centimeters and t is in seconds.

(a) find the average velocity of the body in the interval from t = 0 to t = 1 sec, and in the interval from t = 0 to t = 4 sec.
(b) find the expression for the average velocity in the interval from t to t + δt.
(c) what is the limiting value of this expression as δt approaches zero?
(d) find the time or times at which the body is at rest.
(e) find the expression for the acceleration at any time.

Frank just graduated from eighth grade. assuming exactly four years from now he will graduate from high school how many seconds does he have until his high school graduation

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?

When flexing to a reflective style, one should be specific, brief and to the point, and maintain a fast and decisive pace?