A particle moving along a straight line can be modeled by the equation s= (t2 − 6t + 5) m. The particle starts at position 0 and moves to position 3 after 2 seconds. What is its velocity? The particle’s velocity is 2 meters per second since it traveled 3 meters in only two seconds. -The particle starts at position 0 and moves to position after two seconds.

What is its velocity? +The particle’s velocity is (Vel) since it traveled meters in only seconds. +The particle’s velocity is (Vel) since it traveled meters in only seconds. The acceleration of the particle can be calculated by taking the slope of line s=t with respect to t on a graph, which gives us −( )/( ). This means that every second, the speed increases by . In order for this acceleration equation to take place over time T so that we have an approximate prediction for where our final location would be (s’), we use  T =  √(( ), or √()) + (( ), or √())*. We plug in three values into this equation: