1. An athlete running at the velocity of 23m/s due east is confronted with two trade winds. One wind traveling at 10m/s in a direction of N 65⁰ E and the other wind traveling at 8m/s in a direction S 70° E. Find the resultant velocity and direction of the athlete.​

The particle p starts from rest at point a at time t = 0 and changes its speed thereafter at a constant rate of 2.8g as it follows the horizontal path shown. determine the magnitude and direction of its total acceleration (a) just before point b, (b) just after point b, and (c) as it passes point c. state your directions relative to the x-axis shown (ccw positive) and choose the angle with the smallest magnitude.