Cars on a Highway#

Two cars are driving at constant speeds on two parallel opposing lanes of a divided highway. The lanes are \(L = {{params_l}} \ \rm{m}\) apart and the cars are \(d = {{params_d}} \ \rm{m}\) away from each other. Car \(A\) is traveling at \({{params_va}} \ \rm{km/h}\) and car \(B\) at \({{params_vb}} \ \rm{km/h}\).

Two cars are driving on opposite roads towards each other. The roads are L distance away from each other.

Part 1#

If \(\theta\) is the angle between the road and a line connecting the cars, what is \(\dot \theta\)?

Answer Section#

Please enter in a numeric value in \(\rm{^\circ/s}\).

Part 2#

What is \(\ddot \theta\)?

Answer Section#

Please enter in a numeric value in \(\rm{^\circ/s^2}\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.