NASA uses a plane often called the "vomit comet" to simulate the weightlessness of space in astronaut training. The plane travels in circular arcs at a speed of v = 248 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc?

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.