A car with bad shock absorbers bounces up and down with a period of 1.63 s after hitting a bump. The car has a mass of 742 kg and is supported by four springs of equal force constant k. Determine a value for k. Answer in units of N/m.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west