help

8.2 Pos, Vel, Acc with Integrals Mastery Check #2 Name: Calculus - Calculator Allowed Date: Period: The graph below shows the velocity of a particle, measured in meters per second, moving along the x-axis over a 5- second period. At time t = 0 seconds, the object is 2 meters to the right of the origin. 1. Where is the object after 3 seconds? 2. Find Jo lv(t) | dt and explain its meaning in the context of this problem. 3. A particle moves along the x-axis where t 2 0 with an acceleration of a (t) = 2t - 4 where t is time in seconds. The particle's velocity at t = 2 is 8 cm/sec. The initial position is 6 cm. What is the position of the particle at the particle's minimum velocity? A particle's velocity is given by v(t) = t2 - 6t + 5, where v is measured in miles per hour, and s(t) represents the particle's position. 4. What is the net change in distance over the first 5 seconds? 5. What is the total distance traveled by the particle during the first 5 seconds? Show the set up AND your work.8.1 Average Value Name: Mastery Check #2 Calculus - Calculator Allowed Date: Period: Find the average value of the function over the given interval. Show work. 1. f(x) = 5Vx; [0, 1] 2. f(x) = 23; [1, 2] 3. The velocity of a rocket is recorded for selected values of t and given in the table below. t O 20 60 80 (seconds) 40 v(t) 5 (feet per second) 22 35 44 40 Find the average acceleration of rocket A over the time interval 0