The following is an acceleration-time graph of a particle with a starting velocity and the distance traveled at t=10s is -4m/s and 200m respectively. Draw the velocity-time, distance-time graph of the particle and what is the velocity and total distance traveled at t=18s.

A roly-poly bug moves on the x axis. The bug has a variable velocity which is denoted by 2 v = t² - 2.50t.t is time in seconds and v is meters per second. The origin of the roly-poly bug is at t=0. Your job is to figure out the following after 3s have passed. Be sure to use the correct amount of sig figs! a) Velocity of the bug b) The bugs acceleration c) The bugs position THIS IS How I ROLL

The Hint The position of a particle moving along the x axis is given by x = (21 +22t+8t²) m, where t is in s. What is the instantaneous velocity of the particle at t= 5.0 s ? a. b. C. e. f. 10.2m/s -2.0 m/s -82.0m/s 331 m/s 102m/s -6.0 m/s

The position versus time for a certain particle moving along the x-axis is shown in the figure.1. Plot the velocity versus time graph for the time intervals: a. 0 to 2 sb. 2 s to 6 sc. 6 s to 10 s   2. Plot the acceleration versus time graph for the same time intervals.

Context The position of a peculiar fish as a function of time is given by the following equation. Time is in seconds, position is in meters, and the positive direction is to the right. x(t) = 2t3 + 12t2  - 72t The fish's position, velocity, and acceleration functions are x = 2t3 + 12t2 - 72t, v = 6t2 + 24t - 72, and a = 12t + 24.  Question: When, if ever, is the fish at rest? Drag the appropriate label(s) to the correct location(s) on the number line. Remember that it is the circle in the upper left corner of the label that must be in the correct place. Drag the period (.) to denote a single time; for example, t=0. Drag the left bracket ([) to denote the lower end of a range; for example, t>0. Drag the right bracket (]) to denote the upper end of a range; for example, t<0. Drag "none" anywhere near the line if the fish is never at rest. You may place as many of each symbol on the line as needed. See image attached:

Q1) The position of a particle traveling along a straight line is s(t) = (t²-3t²+C) ft, where tis in seconds and C is a constant. If s = 4 ft when t= 0, determine the velocity of the particle when t =4 s. What is the total distance traveled during the time interval t = 0 to t = 4 s? Also, what is the acceleration when t = 2 s?