An objects position as a function of time is given by r (t)=(a/t), (bt^2+c), (qt
ID: 1815177 • Letter: A
Question
An objects position as a function of time is given byr(t)=(a/t), (bt^2+c), (qt) where a, b and c areconstants with values a=2m/s, b= 1m/s^2, c = 5 m and q= 2m/s. Calculate the components of objects instantaneous velocity att=2. I think I should be trying to find dv/dt for each vectorposition at t=2 but I'm not sure how to get started. I think I want to set it up in column vectors and evaluatethem at T=2 but I'm unsure how to do it. An objects position as a function of time is given byr(t)=(a/t), (bt^2+c), (qt) where a, b and c areconstants with values a=2m/s, b= 1m/s^2, c = 5 m and q= 2m/s. Calculate the components of objects instantaneous velocity att=2. I think I should be trying to find dv/dt for each vectorposition at t=2 but I'm not sure how to get started. I think I want to set it up in column vectors and evaluatethem at T=2 but I'm unsure how to do it.Explanation / Answer
r(t) = (a/t) i + (bt2 + c) j + (qt)k velocity v(t) = dr(t)/dt =(-a/t2) i + (2bt) j + (q) k at t = 2, v(2) = (-a/4) i + (4b) j + (q) k =(-1/2) i + (4) j + (2) k