The velocity of a particle moving along the x-axis is v(t) = t2 + 2t + 1, with t measured in minutes and v(t) measured in feet per minute. to the nearest foot find the total distance travelled by the particle from t = 0 to t = 2 minutes.

V(t)=t^2+2t+1  integrating we get d(t)

d(t)=t^3/3+t^2+t or more neatly

d(t)=(t^3+3t^2+3t)/3 so

d(2)=(8+12+6)/3

d(2)=26/3

So the particle moves 9 feet (to the nearest foot) in the first two minutes.

How many people are we starting with? i will answer it's just i need to divide 8 by the total amount of people to get how many tables

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.