Question

atom, kaptest.com TCU EmailGmail Sapling Learning file?cmdevie...Wrapped-true Chem1412 Syllabus 2018 OAT Study Plan i OAT 2017-18 Stratogins, Practice, and Review-Kaptest.corm Length TI Starbucks-study physics fr OAT Full-Length 1 Physics Question: Time R 13. A train starts from rest and, accelerating uniformly, travels a distance D in a time T. How long, in terms of T, does the train take to travel the first half of this distance? 2 OD. The equation describing the travel distance of the train is: d = 1/ 2at2 Given a distance of D and a time of T we have a = 2D 2 To determine the time to travel half this distance, use: EXHIBITH Have feedback? Emall us at KaplanDATOATEeedback@kaplan.com Please Include ID h500033 PREvIOUs MARKED MacBook Ain

This is from the Kaplan OAT practice test. I am getting lost on the arithmetic rearrangement here... can someone break this down into smaller steps for me?

Answer 1

Equation of motion when D distance is travelled in T time from rest, D = VT + 1/2a T^2 D = o times T + aT^2/2 = > D = aT^2/2 equation (1) for second, if distance travelled D/2 the time, D/2 = Vt + 1/2 at^2 D/2 = 1/2 at^2 equation (2) from eq. (1) & (2) at^2 = aT^2/2 = > t = T/squareroot 2