The sprinter begins from rest at position A and accelerates along the track. If the stationary tracking camera at O is rotating counterclockwise at the rate of 13.1 deg/s when the sprinter passes the 65-m mark, determine the speed v of the sprinter and the value of r. 46 m 12 m

The pilot of the airplane executes a vertical loop which in part follows the path of a cardioid, r = 200 (1+ cos ) m, where is in radians. His speed at A is a constant up = 87 m/s. He has a mass of 88 kg. Hint: To determine the time derivatives necessary to calculate the acceleration components, and a. take the first and second time derivatives of r = 200 (1 + cos). Then, for 0. further information, use " = √√² + (0)² to determine 6. (Figure 1) Figure 1 of 1 r= 200 (1 + cos ) m Part A Determine the vertical reaction the seat of the plane exerts on the pilot when the plane is at A. Express your answer to three significant figures and include the appropriate units. N = Submit $ μA Value Provide Feedback Request Answer Units ?

ft A ball travels along a straight track with the acceleration a= (3t - 4) When t = 0 seconds, the 8² ft position of the ball is s = 2ft and the velocity of the ball is v = −2- S ft a. What is the ball's velocity in when t = S b. What position is the ball at when t = 5s? 4.5 5s? 15.5 c. What is the total distance the ball has traveled in ft when t = 5s?

At the instant shown, cars A and B are travelling at the speeds shown. If B is accelerating at 1200 mi/h2 while A maintains a constant speed, determine the magnitude of the velocity and acceleration of B with respect to A. Car B moves along the curve having a radius of curvature of 0.7mi.  show all the steps in the solution please