Question

Some rental cars have a GPS unit installed, which allows the rental car company to check where you are at all times and thus also know your speed at any time. One of these rental cars is driven by an employee in the company’s lot and, during the time interval from 0 to 10 s, is found to have a position vector as a function of time of
(t) = ( (12.9 m) - t(16.9 m/s) + t2(2.13 m/s2) , (58.1 m) + t2(2.29 m/s2) - + t3(0.113 m/s3) )


a) What is the distance of this car from the origin of the coordinate system at t = 5.50 s?

b) What is the velocity vector at t = 5.50 s? [Enter the x-component into the first box, the y-component into the second.]

c) What is the speed at t = 5.50 s?