Greetings, i've been learning the mathematics of classical physics from a website called "A physiscs teacher" (http://aphysicsteacher.blogspot.com/search/label/acceleration). While looking through the equations on the acceleration i think i found a mistake made by the website. A bus starts from rest and accelerates at a rate of 2.5 m/s2 for a time of 50 s. Determine the distance travelled by the bus during the acceleration phase. Now let us identify the different variables involved. u the initial speed = 0 m/s t time taken = 50 s a acceleration = 2.5 m/s2 s distance travelled = ??? If we want calculate s the distance travelled we will have to use the second equation of motion S = ut + 1/2at2 Substituting the different values we get S = ut + 1/2at(squared) = o*50 + 0.5 *50(squared) = 0 + 0.5*2500 =1250 m My problem with this question comes in when after the values have been substituated. = o*50 + 0.5 *50(squared), im kinda new to the mathematical side of physics but shouldn't the acceleration (2.5) have been substituated in as well to make it = o*50 + 0.5 *2.5 *50(squared) get an answer of 3125?