In the overhead view of Fig. 4-40, Jeeps P and B race along straight lines, across flat terrain, and past stationary border guard A. Relative to the guard, B travels at a constant speed of 25.0 m/s, at the angle `theta_(2)=30.0^(@)`. Relative to the guard, P has accelerated from rest at a constant rate of `0.400m//s^(2)` at the angle `theta_(1)=60.0^(@)`. At a certain time during the acceleration, P has a speed of 40.0 m/s. At that time, what are the (a) magnitude and (b) direction of the velocity of P relative to B and the ( c) magnitude and (d) direction of the acceleration of P relative to B?

Explanation

(a) 22.2 m/s, (b) `-85.7^(@)`, which is 85.7 north of west, ( c) `0.400m//s^(2)`, (d) `60.0^(@)` north of due east (or `30.0^(@)` east of north)